Prime p₀= 2565245779996931747 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 40 2 16 2 22

STPT(10)	2565244696987403441	0 2 6 8 48 50 90 92 96 98	-1083009528306
TPT(14)	2565244803444141419	0 2 18 20 30 32 102 104 198 200 228 230 240 242	-976552790328
SPT(16)	2565245102863261477	0 36 46 64 72 94 114 126 250 262 282 304 312 330 340 376	-677133670270
STPT(10)	2565245175370196321	0 2 30 32 60 62 90 92 120 122	-604626735426
STPT(10)	2565245379179822147	0 2 30 32 42 44 54 56 84 86	-400817109600
SPT(16)	2565245460931331977	0 16 42 60 82 84 96 172 234 310 322 324 346 364 390 406	-319065599770
STPT(10)	2565246803094219071	0 2 36 38 78 80 120 122 156 158	1023097287324
SPT(16)	2565247077793625749	0 12 58 108 112 118 142 168 184 210 234 240 244 294 340 352	1297796694002
SPT(16)	2565247195657733989	0 42 48 58 84 94 132 138 154 160 198 208 234 244 250 292	1415660802242
STPT(10)	2565248066500226477	0 2 30 32 42 44 54 56 84 86	2286503294730
STPT(12)	2565249048230941691	0 2 36 38 48 50 78 80 90 92 126 128	3268234009944