Prime p₀= 2536452553299451559 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 76 2 40 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 132 134 210 212 222 224
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: 224
Found by: JayPi
db: batch=82, k=12, 2 10 2 76 2 40

SPT(16)	2536449911039652731	0 30 50 56 60 78 156 168 170 182 260 278 282 288 308 338	-2642259798828
TPT(14)	2536450255565900237	0 2 12 14 114 116 180 182 210 212 300 302 390 392	-2297733551322
SPT(16)	2536450777939703491	0 18 42 48 52 60 72 118 150 196 208 216 220 226 250 268	-1775359748068
STPT(10)	2536451212061146319	0 2 18 20 60 62 102 104 120 122	-1341238305240
SPT(16)	2536451666995824157	0 10 66 72 90 100 126 132 154 160 186 196 214 220 276 286	-886303627402
STPT(10)	2536452157040341607	0 2 60 62 72 74 84 86 144 146	-396259109952
SPT(16)	2536452857860201327	0 24 40 54 66 102 120 126 130 136 154 190 202 216 232 256	304560749768
STPT(10)	2536453127689158077	0 2 180 182 210 212 240 242 420 422	574389706518
SPT(16)	2536453497960293731	0 42 66 108 120 150 186 198 310 322 358 388 400 442 466 508	944660842172
STPT(10)	2536453937106089237	0 2 12 14 42 44 72 74 84 86	1383806637678
SPT(16)	2536454203281933353	0 20 26 60 74 96 126 128 156 158 188 210 224 258 264 284	1649982481794