Prime p₀= 1178430088651855901 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 106 2 10 2 34 2 10 2 106 2 (?)
a_n: 0 2 108 110 120 122 156 158 168 170 276 278
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: 278
Found by: stoneageman
db: batch=77, k=12, 2 106 2 10 2 34

SPT(16)	1178428780080813083	0 14 30 44 60 98 144 260 294 410 456 494 510 524 540 554	-1308571042818
STPT(10)	1178428958112115277	0 2 12 14 42 44 72 74 84 86	-1130539740624
STPT(10)	1178429230101081221	0 2 6 8 48 50 90 92 96 98	-858550774680
SPT(16)	1178429699895526717	0 30 172 196 220 270 300 322 360 382 412 462 486 510 652 682	-388756329184
SPT(16)	1178429974373417687	0 26 32 54 56 132 152 206 210 264 284 360 362 384 390 416	-114278438214
SPT(16)	1178429975033119063	0 10 36 76 120 156 190 216 220 246 280 316 360 400 426 436	-113618736838
STPT(10)	1178430101052964811	0 2 6 8 18 20 30 32 36 38	12401108910
STPT(10)	1178430119786945951	0 2 30 32 78 80 126 128 156 158	31135090050
STPT(10)	1178430198747998879	0 2 42 44 90 92 138 140 180 182	110096142978
STPT(10)	1178430260898748769	0 2 18 20 30 32 42 44 60 62	172246892868
STPT(10)	1178430596167758287	0 2 54 56 72 74 90 92 144 146	507515902386