Prime p₀= 2596471387436775377 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

SPT(16)	2596470368984153917	0 16 24 82 124 132 150 154 162 166 184 192 234 292 300 316	-1018452621460
SPT(16)	2596470499192232479	0 82 94 138 148 168 190 192 220 222 244 264 274 318 330 412	-888244542898
SPT(18)	2596470853562159611	0 10 16 46 58 60 102 112 148 240 276 286 328 330 342 372 378 388	-533874615766
STPT(10)	2596471000159736699	0 2 18 20 30 32 42 44 60 62	-387277038678
SPT(16)	2596471057536251017	0 16 22 30 42 64 82 90 106 114 132 154 166 174 180 196	-329900524360
SPT(16)	2596471299064426463	0 30 60 86 110 228 240 254 390 404 416 534 558 584 614 644	-88372348914
SPT(16)	2596471714081053077	0 62 66 146 150 164 176 180 206 210 222 236 240 320 324 386	326644277700
STPT(10)	2596471753254534497	0 2 24 26 42 44 60 62 84 86	365817759120
STPT(10)	2596472452235257949	0 2 132 134 150 152 168 170 300 302	1064798482572
STPT(10)	2596472829365485307	0 2 30 32 42 44 54 56 84 86	1441928709930
STPT(10)	2596472873021706821	0 2 6 8 18 20 30 32 36 38	1485584931444