Prime p₀= 1142999738291837771 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Putin Has a Small Dick
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1142998303657128959	0 42 174 188 210 218 278 302 390 414 474 482 504 518 650 692	-1434634708812
STPT(10)	1142998484975713841	0 2 60 62 168 170 276 278 336 338	-1253316123930
SPT(16)	1142998517117148061	0 12 60 76 82 112 130 142 156 168 186 216 222 238 286 298	-1221174689710
SPT(16)	1142998538516168857	0 24 46 66 94 96 112 124 132 144 160 162 190 210 232 256	-1199775668914
STPT(10)	1142998798651621517	0 2 12 14 72 74 132 134 144 146	-939640216254
STPT(10)	1142999203496230019	0 2 18 20 30 32 42 44 60 62	-534795607752
SPT(16)	1143000274900171459	0 30 70 102 144 162 184 232 282 330 352 370 412 444 484 514	536608333688
STPT(10)	1143000434334290141	0 2 36 38 78 80 120 122 156 158	696042452370
STPT(10)	1143000474851916449	0 2 18 20 30 32 42 44 60 62	736560078678
STPT(10)	1143000682343758697	0 2 30 32 42 44 54 56 84 86	944051920926
SPT(16)	1143000911620938757	0 36 84 102 112 114 154 220 336 402 442 444 454 472 520 556	1173329100986