Prime p₀= 1274113256268482887 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 92 6 130 2 12 6 22 6 12 2 130 6 92 4 (?)
a_n: 0 4 96 102 232 234 246 252 274 280 292 294 424 430 522 526
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: 526
Found by: HenkM
db: batch=77, k=16, 4 92 6 130 2 12 6 22

SPT(16)	1274112305264927813	0 14 44 80 128 158 188 198 200 210 240 270 318 354 384 398	-951003555074
SPT(16)	1274112334772971669	0 22 24 138 154 174 198 210 232 244 268 288 304 418 420 442	-921495511218
SPT(16)	1274112587940726661	0 12 18 28 40 46 52 96 112 156 162 168 180 190 196 208	-668327756226
STPT(10)	1274112911108670341	0 2 36 38 78 80 120 122 156 158	-345159812546
STPT(10)	1274113056790450601	0 2 6 8 48 50 90 92 96 98	-199478032286
SPT(16)	1274113112997854093	0 98 108 126 128 144 170 206 228 264 290 306 308 326 336 434	-143270628794
SPT(16)	1274113267565234303	0 8 54 78 86 126 128 138 176 186 188 228 236 260 306 314	11296751416
STPT(10)	1274113285893468071	0 2 6 8 18 20 30 32 36 38	29624985184
SPT(16)	1274113359468820903	0 16 70 120 148 154 186 190 204 208 240 246 274 324 378 394	103200338016
TPT(14)	1274113365836621159	0 2 12 14 42 44 78 80 90 92 120 122 150 152	109568138272
SPT(16)	1274114317278919423	0 4 28 94 114 136 160 186 208 234 258 280 300 366 390 394	1061010436536