Prime p₀= 1303836050061117017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: vaughan
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1303835259101649403	0 70 84 106 136 156 178 184 210 216 238 258 288 310 324 394	-790959467614
SPT(16)	1303835299123746451	0 52 58 132 160 222 226 238 240 252 256 318 346 420 426 478	-750937370566
SPT(16)	1303835357666396299	0 30 34 54 72 94 112 132 142 162 180 202 220 240 244 274	-692394720718
STPT(10)	1303835470893969437	0 2 54 56 72 74 90 92 144 146	-579167147580
SPT(16)	1303835803572485329	0 40 60 132 142 160 210 240 310 340 390 408 418 490 510 550	-246488631688
SPT(16)	1303835879093487787	0 10 40 84 90 94 106 120 166 180 192 196 202 246 276 286	-170967629230
TPT(14)	1303836062468310197	0 2 12 14 24 26 72 74 180 182 324 326 360 362	12407193180
SPT(16)	1303836102432644983	0 30 138 156 168 208 264 268 276 280 336 376 388 406 514 544	52371527966
SPT(16)	1303836158117867443	0 4 6 10 18 24 88 94 150 156 220 226 234 238 240 244	108056750426
SPT(16)	1303836233700576031	0 46 70 78 126 130 148 256 330 438 456 460 508 516 540 586	183639459014
STPT(10)	1303836555656698421	0 2 66 68 138 140 210 212 276 278	505595581404