Prime p₀= 2688214692077429741 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 88 2 64 2 112 2 64 2 88 2 (?)
a_n: 0 2 90 92 156 158 270 272 336 338 426 428
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: 428
Found by: JayPi
db: batch=82, k=12, 2 88 2 64 2 112

SPT(16)	2688213396617527043	0 6 18 20 90 140 146 174 200 228 234 284 354 356 368 374	-1295459902698
SPT(16)	2688213705174511867	0 72 114 136 150 174 196 216 220 240 262 286 300 322 364 436	-986902917874
SPT(16)	2688213756172088611	0 18 46 48 82 88 126 136 162 172 210 216 250 252 280 298	-935905341130
STPT(10)	2688213839657044841	0 2 6 8 18 20 30 32 36 38	-852420384900
SPT(16)	2688213955989856969	0 54 70 78 94 132 160 204 208 252 280 318 334 342 358 412	-736087572772
SPT(16)	2688214493524649081	0 26 38 48 66 80 116 122 126 132 168 182 200 210 222 248	-198552780660
STPT(10)	2688214811805026897	0 2 30 32 42 44 54 56 84 86	119727597156
SPT(16)	2688214924264671281	0 50 60 90 126 132 162 168 230 236 266 272 308 338 348 398	232187241540
SPT(16)	2688214942805963689	0 10 34 40 48 54 114 138 154 178 238 244 252 258 282 292	250728533948
SPT(16)	2688215260275646817	0 6 24 36 56 60 74 92 114 132 146 150 170 182 200 206	568198217076
SPT(16)	2688215444904726119	0 38 54 122 162 188 224 234 248 258 294 320 360 428 444 482	752827296378