Prime p₀= 1010183696466056009 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: stoneageman
db: batch=76, k=12, 2 28 2 28 2 10

STPT(10)	1010182545477047609	0 2 18 20 30 32 42 44 60 62	-1150989008400
SPT(16)	1010182588109955479	0 8 32 48 62 108 114 134 198 218 224 270 284 300 324 332	-1108356100530
TPT(14)	1010182643665013381	0 2 120 122 168 170 180 182 210 212 246 248 300 302	-1052801042628
STPT(10)	1010183497505172239	0 2 18 20 30 32 42 44 60 62	-198960883770
SPT(16)	1010183509346212373	0 6 8 18 78 86 144 146 198 200 258 266 326 336 338 344	-187119843636
SPT(16)	1010183617589083237	0 6 34 100 132 166 174 214 252 292 300 334 366 432 460 466	-78876972772
SPT(16)	1010183774808586957	0 12 54 90 112 130 154 192 322 360 384 402 424 460 502 514	78342530948
SPT(16)	1010183777523105359	0 30 32 54 108 122 234 240 362 368 480 494 548 570 572 602	81057049350
STPT(10)	1010183845279372199	0 2 42 44 60 62 78 80 120 122	148813316190
SPT(16)	1010184053695837973	0 24 30 66 98 110 168 176 228 236 294 306 338 374 380 404	357229781964
STPT(10)	1010184057822654269	0 2 42 44 60 62 78 80 120 122	361356598260