Prime p₀= 1611424771103186651 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 110 16 62 22 20 46 2 40 2 46 20 22 62 16 110 (?)
a_n: 0 110 126 188 210 230 276 278 318 320 366 386 408 470 486 596
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 596
Found by: crashtech
db: batch=78, k=16, 110 16 62 22 20 46 2 40

SPT(16)	1611423722169059921	0 2 36 72 80 90 140 156 182 198 248 258 266 302 336 338	-1048934126730
STPT(10)	1611423848225729429	0 2 48 50 90 92 132 134 180 182	-922877457222
SPT(16)	1611423971211066833	0 14 36 60 74 108 116 126 308 318 326 360 374 398 420 434	-799892119818
TPT(14)	1611424281180741791	0 2 36 38 78 80 126 128 168 170 210 212 288 290	-489922444860
SPT(16)	1611424532348927419	0 22 30 40 54 84 118 138 184 204 238 268 282 292 300 322	-238754259232
SPT(16)	1611424623102081743	0 20 26 36 98 138 146 156 158 168 176 216 278 288 294 314	-148001104908
SPT(16)	1611424929385773757	0 12 40 72 94 156 222 234 322 334 400 462 484 516 544 556	158282587106
SPT(16)	1611425845149554653	0 10 76 88 90 118 148 150 154 156 186 214 216 228 294 304	1074046368002
SPT(16)	1611425996695543993	0 60 84 126 138 160 184 186 238 240 264 286 298 340 364 424	1225592357342
SPT(16)	1611426559595973983	0 36 48 56 78 114 134 170 174 210 230 266 288 296 308 344	1788492787332
SPT(16)	1611426654453797437	0 40 72 84 130 156 174 240 256 322 340 366 412 424 456 496	1883350610786