Prime p₀= 1232674374648069107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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 40 2 28 2

SPT(16)	1232673248537835329	0 2 18 24 42 60 108 150 242 284 332 350 368 374 390 392	-1126110233778
SPT(16)	1232673248712151733	0 26 36 104 146 174 180 240 320 380 386 414 456 524 534 560	-1125935917374
STPT(10)	1232673350309036717	0 2 12 14 72 74 132 134 144 146	-1024339032390
STPT(10)	1232673526842388619	0 2 18 20 30 32 42 44 60 62	-847805680488
SPT(16)	1232673924763796269	0 28 34 72 124 154 208 210 352 354 408 438 490 528 534 562	-449884272838
SPT(16)	1232674010994350233	0 4 18 24 46 64 88 100 114 126 150 168 190 196 210 214	-363653718874
STPT(10)	1232674521112698359	0 2 48 50 90 92 132 134 180 182	146464629252
STPT(10)	1232674624820515307	0 2 54 56 72 74 90 92 144 146	250172446200
SPT(16)	1232675014696754257	0 54 76 96 114 144 184 192 244 252 292 322 340 360 382 436	640048685150
SPT(16)	1232675062423689799	0 18 24 82 84 144 160 168 214 222 238 298 300 358 364 382	687775620692
STPT(10)	1232675093254758677	0 2 30 32 42 44 54 56 84 86	718606689570