Prime p₀= 2565787171451100767 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 88 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 132 134 144 146 174 176
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: 176
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 28 2 10 2 88

SPT(16)	2565785306783561899	0 24 28 100 112 124 138 142 150 154 168 180 192 264 268 292	-1864667538868
SPT(16)	2565786546726764261	0 8 18 32 36 102 110 116 162 168 176 242 246 260 270 278	-624724336506
SPT(16)	2565786615058352831	0 12 78 110 168 176 186 228 260 302 312 320 378 410 476 488	-556392747936
SPT(16)	2565786814574341081	0 40 70 78 162 166 202 208 240 246 282 286 370 378 408 448	-356876759686
SPT(16)	2565787067853729607	0 42 82 94 96 172 196 214 222 240 264 340 342 354 394 436	-103597371160
STPT(12)	2565787142775514037	0 2 42 44 120 122 162 164 240 242 282 284	-28675586730
SPT(16)	2565787315583348221	0 30 78 106 126 138 162 190 228 256 280 292 312 340 388 418	144132247454
SPT(16)	2565787395113524949	0 2 44 72 80 92 164 170 252 258 330 342 350 378 420 422	223662424182
SPT(16)	2565787572078471229	0 30 42 114 154 184 222 234 310 322 360 390 430 502 514 544	400627370462
SPT(16)	2565787924970060293	0 18 28 46 88 96 138 150 154 166 208 216 258 276 286 304	753518959526
STPT(10)	2565787999305204407	0 2 30 32 42 44 54 56 84 86	827854103640