Prime p₀= 1004953617521927849 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 202 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 222 224 228 230 240 242
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: 242
Found by: HenkM
db: batch=76, k=12, 2 10 2 4 2 202

TPT(14)	1004952155896878731	0 2 66 68 78 80 90 92 258 260 276 278 300 302	-1461625049118
SPT(16)	1004952356052806101	0 6 40 70 78 160 166 198 250 282 288 370 378 408 442 448	-1261469121748
SPT(16)	1004952507754656911	0 20 108 116 140 182 186 192 206 212 216 258 282 290 378 398	-1109767270938
STPT(10)	1004953036423893377	0 2 60 62 72 74 84 86 144 146	-581098034472
SPT(16)	1004953162397126191	0 22 40 72 88 112 172 228 250 306 366 390 406 438 456 478	-455124801658
TPT(14)	1004953503427202669	0 2 30 32 72 74 132 134 138 140 222 224 228 230	-114094725180
SPT(16)	1004953627776767183	0 26 30 48 86 98 126 140 144 158 186 198 236 254 258 284	10254839334
SPT(16)	1004954557816673701	0 6 28 30 66 70 72 132 136 196 198 202 238 240 262 268	940294745852
SPT(16)	1004954684724415301	0 2 42 48 50 78 90 120 128 158 170 198 200 206 246 248	1067202487452
STPT(10)	1004954684844352157	0 2 24 26 42 44 60 62 84 86	1067322424308
STPT(10)	1004954989440681449	0 2 18 20 30 32 42 44 60 62	1371918753600