Prime p₀= 2240056334587506077 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 84 86
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: 86
Found by: JayPi
db: batch=81, k=12, 2 22 2 4 2 22

SPT(18)	2240055171435891773	0 36 66 68 78 90 104 126 228 266 368 390 404 416 426 428 458 494	-1163151614304
SPT(13)	2240055262747136473	0 18 126 150 156 168 198 228 240 246 270 378 396	-1071840369604
TPT(16)	2240055421565421749	0 2 18 20 78 80 102 104 198 200 210 212 258 260 288 290	-913022084328
STPT(10)	2240055756760121351	0 2 6 8 18 20 30 32 36 38	-577827384726
SPT(16)	2240055871343978893	0 30 34 36 46 64 84 90 100 106 126 144 154 156 160 190	-463243527184
SPT(16)	2240056310710550867	0 2 90 132 152 156 170 182 210 222 236 240 260 302 390 392	-23876955210
STPT(10)	2240056408818840497	0 2 54 56 72 74 90 92 144 146	74231334420
SPT(16)	2240056477389262733	0 6 14 38 48 144 164 168 266 270 290 386 396 420 428 434	142801756656
SPT(16)	2240056748642641141	0 22 28 52 76 82 160 162 166 168 246 252 276 300 306 328	414055135064
STPT(10)	2240057022879804377	0 2 30 32 42 44 54 56 84 86	688292298300
SPT(16)	2240057030326258463	0 8 56 68 74 80 138 150 194 206 264 270 276 288 336 344	695738752386