Prime p₀= 2596460273246673077 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 40 2 4

SPT(16)	2596459034542112251	0 30 40 42 66 72 102 108 130 136 166 172 196 198 208 238	-1238704560826
STPT(10)	2596459086801987131	0 2 6 8 48 50 90 92 96 98	-1186444685946
STPT(10)	2596459109660637017	0 2 30 32 42 44 54 56 84 86	-1163586036060
STPT(10)	2596459312202626901	0 2 30 32 60 62 90 92 120 122	-961044046176
TPT(14)	2596459580361689489	0 2 12 14 18 20 30 32 150 152 198 200 252 254	-692884983588
SPT(13)	2596459605764807129	0 18 54 120 138 168 174 180 210 228 294 330 348	-667481865948
SPT(16)	2596460394627393647	0 12 14 72 122 126 150 162 254 266 290 294 344 402 404 416	121380720570
STPT(10)	2596460646257280989	0 2 18 20 30 32 42 44 60 62	373010607912
STPT(10)	2596460703844353887	0 2 72 74 102 104 132 134 204 206	430597680810
SPT(16)	2596460728482407009	0 14 84 144 150 164 174 222 242 290 300 314 320 380 450 464	455235733932
SPT(16)	2596460846136430331	0 2 6 38 56 78 102 120 128 146 170 192 210 242 246 248	572889757254