Prime p₀= 1282575874739103407 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 154 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 180 182 192 194 204 206
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: 206
Found by: xii5ku
db: batch=77, k=12, 2 10 2 10 2 154

STPT(10)	1282573800233796407	0 2 30 32 42 44 54 56 84 86	-2074505307000
SPT(16)	1282573854703370743	0 10 48 78 90 106 108 126 268 286 288 304 316 346 384 394	-2020035732664
SPT(16)	1282574074116293879	0 18 48 50 68 92 120 128 144 152 180 204 222 224 254 272	-1800622809528
SPT(16)	1282574342050060121	0 18 20 38 96 102 132 156 182 206 236 242 300 318 320 338	-1532689043286
SPT(16)	1282575053818313953	0 18 36 106 120 144 208 210 274 276 340 364 378 448 466 484	-820920789454
SPT(16)	1282575157905622961	0 30 66 120 128 146 210 216 242 248 312 330 338 392 428 458	-716833480446
TPT(14)	1282575933379614779	0 2 42 44 48 50 78 80 300 302 318 320 360 362	58640511372
SPT(16)	1282576003608093979	0 10 52 78 82 94 100 120 142 162 168 180 184 210 252 262	128868990572
TPT(14)	1282576577896415099	0 2 48 50 72 74 198 200 240 242 312 314 342 344	703157311692
STPT(10)	1282576601999665067	0 2 30 32 42 44 54 56 84 86	727260561660
SPT(16)	1282576776602484919	0 22 54 78 84 90 112 132 190 210 232 238 244 268 300 322	901863381512