Prime p₀= 2159729352784904009 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: Landjunge
db: batch=81, k=12, 2 16 2 22 2 4

STPT(10)	2159727696195886247	0 2 12 14 72 74 132 134 144 146	-1656589017762
SPT(16)	2159728088382349759	0 42 70 82 112 148 198 222 238 262 312 348 378 390 418 460	-1264402554250
STPT(10)	2159728196149617557	0 2 60 62 102 104 144 146 204 206	-1156635286452
TPT(14)	2159728369631724761	0 2 18 20 78 80 126 128 210 212 216 218 240 242	-983153179248
STPT(10)	2159728393152117839	0 2 18 20 30 32 42 44 60 62	-959632786170
SPT(16)	2159728856368809577	0 36 96 112 120 126 154 186 190 222 250 256 264 280 340 376	-496416094432
SPT(16)	2159729811328335401	0 12 60 80 140 150 152 168 182 198 200 210 270 290 338 350	458543431392
STPT(10)	2159730548632814231	0 2 6 8 48 50 90 92 96 98	1195847910222
SPT(16)	2159730553205928713	0 14 30 80 84 86 104 138 206 240 258 260 264 314 330 344	1200421024704
SPT(16)	2159730659423101783	0 144 154 196 286 364 370 394 396 420 426 504 594 636 646 790	1306638197774
TPT(14)	2159730711946036811	0 2 30 32 36 38 126 128 138 140 168 170 180 182	1359161132802