Prime p₀= 2336749576476474539 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 88 2 40 2 244 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 378 380 420 422 510 512
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: 512
Found by: Orange Kid
db: batch=81, k=12, 2 88 2 40 2 244

SPT(16)	2336747723955347177	0 54 62 66 90 102 104 132 164 192 194 206 230 234 242 296	-1852521127362
SPT(16)	2336747765420674747	0 60 64 70 114 130 150 214 252 316 336 352 396 402 406 466	-1811055799792
SPT(16)	2336748171620545633	0 10 30 46 100 130 136 150 214 228 234 264 318 334 354 364	-1404855928906
SPT(16)	2336749072514020159	0 22 28 34 52 94 112 118 144 150 168 210 228 234 240 262	-503962454380
SPT(16)	2336749318346416361	0 20 26 36 56 66 290 302 306 318 542 552 572 582 588 608	-258130058178
STPT(10)	2336749542311574287	0 2 60 62 72 74 84 86 144 146	-34164900252
SPT(16)	2336749600264201379	0 8 20 48 50 98 110 138 140 168 180 228 230 258 270 278	23787726840
SPT(16)	2336749762800812743	0 48 94 114 160 174 178 186 208 216 220 234 280 300 346 394	186324338204
STPT(10)	2336750418243881831	0 2 36 38 78 80 120 122 156 158	841767407292
SPT(16)	2336750636775267403	0 6 34 40 60 120 126 144 196 214 220 280 300 306 334 340	1060298792864
SPT(16)	2336750691737370017	0 14 50 62 84 96 110 116 120 126 140 152 174 186 222 236	1115260895478