Prime p₀= 2223861427322686937 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: JayPi
db: batch=81, k=12, 2 28 2 10 2 46

SPT(16)	2223859395478951079	0 20 38 48 78 80 90 128 132 170 180 182 212 222 240 260	-2031843735858
STPT(10)	2223859535771203007	0 2 60 62 72 74 84 86 144 146	-1891551483930
STPT(10)	2223859827300746027	0 2 30 32 42 44 54 56 84 86	-1600021940910
SPT(16)	2223860479552485727	0 22 106 114 130 184 210 240 286 316 342 396 412 420 504 526	-947770201210
TPT(14)	2223861060329831651	0 2 78 80 276 278 288 290 450 452 456 458 516 518	-366992855286
STPT(10)	2223861230711298749	0 2 18 20 30 32 42 44 60 62	-196611388188
SPT(16)	2223861660749650513	0 4 34 48 78 100 120 124 204 208 228 250 280 294 324 328	233426963576
SPT(16)	2223861862716150721	0 12 30 78 82 88 138 142 336 340 390 396 400 448 466 478	435393463784
SPT(16)	2223862385553649667	0 30 36 56 150 156 210 246 290 326 380 386 480 500 506 536	958230962730
SPT(16)	2223863051757801463	0 6 16 36 76 78 88 114 370 396 406 408 448 468 478 484	1624435114526
SPT(16)	2223863323396488773	0 26 126 164 216 230 234 284 306 356 360 374 426 464 564 590	1896073801836