Prime p₀= 2741225006441705657 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 10 2 4

SPT(20)	2741222909153837347	0 30 46 70 120 144 150 184 210 214 246 250 276 310 316 340 390 414 430 460	-2097287868310
SPT(16)	2741223334261153697	0 20 30 54 72 104 134 204 230 300 330 362 380 404 414 434	-1672180551960
SPT(16)	2741223472500470501	0 48 92 96 102 110 126 140 228 242 258 266 272 276 320 368	-1533941235156
SPT(16)	2741223706832143441	0 6 46 52 58 88 100 130 198 228 240 270 276 282 322 328	-1299609562216
SPT(16)	2741224608204955277	0 44 54 96 104 122 192 210 236 254 324 342 350 392 402 446	-398236750380
SPT(18)	2741224693428532163	0 6 54 84 98 114 138 164 168 296 300 326 350 366 380 410 458 464	-313013173494
SPT(16)	2741225122139125957	0 24 34 54 82 112 132 142 252 262 282 312 340 360 370 394	115697420300
STPT(10)	2741225219627157407	0 2 60 62 72 74 84 86 144 146	213185451750
SPT(16)	2741225423051894543	0 6 8 14 24 36 50 90 164 204 218 230 240 246 248 254	416610188886
STPT(10)	2741225606351569031	0 2 36 38 78 80 120 122 156 158	599909863374
SPT(16)	2741226105675175427	0 2 12 14 72 80 92 96 110 114 126 134 192 194 204 206	1099233469770