Prime p₀= 1747839710846707757 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 58 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 102 104 114 116 144 146
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: suriv
db: batch=79, k=12, 2 28 2 10 2 58

SPT(16)	1747838270030978303	0 48 54 78 90 120 168 180 234 246 294 324 336 360 366 414	-1440815729454
SPT(16)	1747838317228564747	0 76 90 112 154 162 174 186 190 202 214 222 264 286 300 376	-1393618143010
SPT(20)	1747838455872683171	0 2 18 32 78 86 98 152 158 162 176 180 186 240 252 260 306 320 336 338	-1254974024586
STPT(10)	1747839026292272729	0 2 12 14 30 32 48 50 60 62	-684554435028
STPT(10)	1747839143740337699	0 2 18 20 30 32 42 44 60 62	-567106370058
STPT(10)	1747839326743633997	0 2 30 32 42 44 54 56 84 86	-384103073760
STPT(10)	1747839874976625767	0 2 30 32 42 44 54 56 84 86	164129918010
STPT(10)	1747839905472730019	0 2 18 20 30 32 42 44 60 62	194626022262
SPT(16)	1747840449120070049	0 8 12 54 62 78 90 222 260 392 404 420 428 470 474 482	738273362292
SPT(16)	1747840909543637327	0 24 26 72 86 102 152 200 306 354 404 420 434 480 482 506	1198696929570
SPT(16)	1747841013533847779	0 30 54 74 92 98 122 170 192 240 264 270 288 308 332 362	1302687140022