Prime p₀= 2250778804085137967 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: JayPi
db: batch=81, k=12, 2 10 2 40 2 4

SPT(16)	2250777103833693949	0 34 42 82 100 160 174 192 250 268 282 342 360 400 408 442	-1700251444018
STPT(10)	2250777170353792007	0 2 12 14 72 74 132 134 144 146	-1633731345960
STPT(10)	2250778120786455107	0 2 12 14 42 44 72 74 84 86	-683298682860
STPT(10)	2250778154390609267	0 2 54 56 72 74 90 92 144 146	-649694528700
SPT(16)	2250778402604401927	0 12 24 34 60 66 102 112 144 154 190 196 222 232 244 256	-401480736040
SPT(16)	2250778640409891983	0 74 86 140 174 180 210 230 264 284 314 320 354 408 420 494	-163675245984
SPT(16)	2250779200013155499	0 8 32 42 62 158 168 188 204 224 234 330 350 360 384 392	395928017532
STPT(10)	2250779909690760947	0 2 42 44 72 74 102 104 144 146	1105605622980
SPT(16)	2250779943946006103	0 30 44 54 156 204 210 276 308 374 380 428 530 540 554 584	1139860868136
SPT(16)	2250780388214577169	0 18 112 124 150 168 192 222 250 280 304 322 348 360 454 472	1584129439202
STPT(10)	2250780540717408521	0 2 6 8 48 50 90 92 96 98	1736632270554