Prime p₀= 1232674521112698359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Theadalus
db: batch=77, k=10, 2 46 2 40 2

SPT(16)	1232673248712151733	0 26 36 104 146 174 180 240 320 380 386 414 456 524 534 560	-1272400546626
STPT(10)	1232673350309036717	0 2 12 14 72 74 132 134 144 146	-1170803661642
STPT(10)	1232673526842388619	0 2 18 20 30 32 42 44 60 62	-994270309740
SPT(16)	1232673924763796269	0 28 34 72 124 154 208 210 352 354 408 438 490 528 534 562	-596348902090
SPT(16)	1232674010994350233	0 4 18 24 46 64 88 100 114 126 150 168 190 196 210 214	-510118348126
STPT(10)	1232674374648069107	0 2 42 44 72 74 102 104 144 146	-146464629252
STPT(10)	1232674624820515307	0 2 54 56 72 74 90 92 144 146	103707816948
SPT(16)	1232675014696754257	0 54 76 96 114 144 184 192 244 252 292 322 340 360 382 436	493584055898
SPT(16)	1232675062423689799	0 18 24 82 84 144 160 168 214 222 238 298 300 358 364 382	541310991440
STPT(10)	1232675093254758677	0 2 30 32 42 44 54 56 84 86	572142060318
SPT(16)	1232675279010875467	0 4 70 124 150 160 172 174 292 294 306 316 342 396 462 466	757898177108