Prime p₀= 2420781847994206679 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 58 2 22 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 162 164 222 224 300 302
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 302
Found by: [SG-FC] hl
db: batch=82, k=12, 2 76 2 58 2 22

SPT(16)	2420780372113206529	0 4 10 12 28 34 52 54 88 90 108 114 130 132 138 142	-1475881000150
STPT(10)	2420781047898316799	0 2 48 50 90 92 132 134 180 182	-800095889880
TPT(14)	2420781199944879617	0 2 84 86 150 152 222 224 282 284 420 422 492 494	-648049327062
STPT(10)	2420781359608679339	0 2 18 20 30 32 42 44 60 62	-488385527340
SPT(16)	2420781450163023091	0 36 42 46 60 112 160 190 312 342 390 442 456 460 466 502	-397831183588
STPT(10)	2420781515566299461	0 2 36 38 78 80 120 122 156 158	-332427907218
SPT(16)	2420782009763735461	0 18 22 70 76 90 106 160 198 252 268 282 288 336 340 358	161769528782
SPT(16)	2420782278994893829	0 64 70 82 120 184 222 234 280 292 330 394 432 444 450 514	431000687150
TPT(14)	2420782621260755447	0 2 42 44 132 134 150 152 192 194 252 254 372 374	773266548768
SPT(16)	2420783019595549393	0 10 58 78 100 148 180 214 330 364 396 444 466 486 534 544	1171601342714
SPT(16)	2420783330314630139	0 20 50 62 80 84 92 104 138 150 158 162 180 192 222 242	1482320423460