Prime p₀= 958588149405583511 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: 128
Found by: stoneageman
db: batch=76, k=12, 2 34 2 10 2 28

STPT(12)	958586944054734221	0 2 6 8 78 80 138 140 210 212 216 218	-1205350849290
STPT(10)	958587034501417439	0 2 18 20 30 32 42 44 60 62	-1114904166072
STPT(10)	958587263884633049	0 2 42 44 60 62 78 80 120 122	-885520950462
SPT(16)	958587442082602499	0 18 30 44 68 72 84 98 114 128 140 144 168 182 194 212	-707322981012
STPT(10)	958587952313967341	0 2 36 38 78 80 120 122 156 158	-197091616170
SPT(16)	958588007285986621	0 42 60 76 96 102 108 118 180 190 196 202 222 238 256 298	-142119596890
STPT(10)	958588152896650091	0 2 6 8 48 50 90 92 96 98	3491066580
SPT(16)	958588269407828911	0 10 36 40 42 52 60 66 166 172 180 190 192 196 222 232	120002245400
SPT(16)	958588380453046801	0 28 58 76 108 132 138 142 216 220 226 250 282 300 330 358	231047463290
SPT(16)	958588575322667867	0 6 30 32 54 86 116 140 186 210 240 272 294 296 320 326	425917084356
SPT(16)	958588578784800083	0 30 54 120 194 198 200 240 248 288 290 294 368 434 458 488	429379216572