Prime p₀= 2313250528455014579 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 136 2 52 2 136 2 58 2 (?)
a_n: 0 2 60 62 198 200 252 254 390 392 450 452
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: 452
Found by: vinn@[CNT]
db: batch=81, k=12, 2 58 2 136 2 52

SPT(16)	2313248259061832669	0 12 38 62 78 80 84 98 174 188 192 194 210 234 260 272	-2269393181910
STPT(10)	2313248368170141041	0 2 6 8 48 50 90 92 96 98	-2160284873538
STPT(10)	2313248633838466031	0 2 36 38 78 80 120 122 156 158	-1894616548548
STPT(10)	2313249829075683851	0 2 78 80 108 110 138 140 216 218	-699379330728
SPT(16)	2313250396078519741	0 6 12 42 72 100 160 208 240 288 348 376 406 436 442 448	-132376494838
TPT(14)	2313250528455014567	0 2 12 14 72 74 210 212 264 266 402 404 462 464	-12
TPT(14)	2313251046864258377	0 2 30 32 42 44 60 62 90 92 120 122 240 242	518409243798
STPT(10)	2313251117816446079	0 2 18 20 30 32 42 44 60 62	589361431500
SPT(16)	2313251323954253273	0 24 48 56 84 86 140 164 240 264 318 320 348 356 380 404	795499238694
SPT(20)	2313251913955995293	0 26 116 128 134 138 144 150 164 186 218 240 254 260 266 270 276 288 378 404	1385500980714
SPT(16)	2313252091755352051	0 10 28 36 58 72 78 82 96 100 106 120 142 150 168 178	1563300337472