Prime p₀= 2592473798806998257 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 22 2 4 2 22 2 28 2 (?)
a_n: 0 2 30 32 54 56 60 62 84 86 114 116
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: 116
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 28 2 22 2 4

SPT(16)	2592472053219363391	0 10 16 30 42 178 192 220 258 286 300 436 448 462 468 478	-1745587634866
SPT(16)	2592472146954627649	0 24 48 52 60 84 108 118 144 154 178 202 210 214 238 262	-1651852370608
STPT(10)	2592472420211876507	0 2 30 32 42 44 54 56 84 86	-1378595121750
TPT(14)	2592472525206821471	0 2 30 32 60 62 90 92 216 218 240 242 390 392	-1273600176786
SPT(16)	2592472553964216529	0 30 42 72 84 112 124 130 222 228 240 268 280 310 322 352	-1244842781728
SPT(16)	2592473689435541633	0 14 24 36 44 140 198 200 294 296 354 450 458 470 480 494	-109371456624
SPT(16)	2592473842167867439	0 42 52 60 84 94 150 172 192 214 270 280 304 312 322 364	43360869182
STPT(10)	2592474013416983789	0 2 30 32 60 62 90 92 120 122	214609985532
STPT(10)	2592474450142134587	0 2 30 32 120 122 210 212 240 242	651335136330
SPT(16)	2592474927154056953	0 30 50 54 68 86 128 176 228 276 318 336 350 354 374 404	1128347058696
SPT(16)	2592475275298887739	0 60 78 82 144 148 154 178 204 228 234 238 300 304 322 382	1476491889482