Prime p₀= 1270444473651641927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Theadalus
db: batch=77, k=10, 2 58 2 10 2

SPT(16)	1270443222991349377	0 24 40 64 106 112 120 124 132 136 144 150 192 216 232 256	-1250660292550
SPT(16)	1270443884035671187	0 10 100 120 124 126 142 150 166 174 190 192 196 216 306 316	-589615970740
TPT(14)	1270444115998542647	0 2 24 26 42 44 84 86 114 116 162 164 204 206	-357653099280
SPT(16)	1270444225946443663	0 34 66 76 156 168 234 258 346 370 436 448 528 538 570 604	-247705198264
SPT(16)	1270444351781980027	0 22 24 60 100 156 186 220 246 280 310 366 406 442 444 466	-121869661900
STPT(10)	1270444454160389411	0 2 36 38 78 80 120 122 156 158	-19491252516
SPT(16)	1270444540488522887	0 12 54 60 96 116 126 206 210 290 300 320 356 362 404 416	66836880960
TPT(14)	1270444791443129669	0 2 12 14 78 80 132 134 468 470 498 500 510 512	317791487742
SPT(16)	1270444885832340401	0 42 56 80 96 102 108 138 170 200 206 212 228 252 266 308	412180698474
SPT(18)	1270444952686848979	0 18 34 42 88 120 138 148 160 222 234 244 262 294 340 348 364 382	479035207052
SPT(16)	1270445290022349127	0 30 40 60 66 96 112 172 330 390 406 436 442 462 472 502	816370707200