Prime p₀= 2842379407786672757 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 70 2 64 2 70 2 10 2 (?)
a_n: 0 2 12 14 84 86 150 152 222 224 234 236
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: 236
Found by: JayPi
db: batch=82, k=12, 2 10 2 70 2 64

SPT(16)	2842378686835710271	0 6 30 46 90 106 142 160 168 186 222 238 282 298 322 328	-720950962486
SPT(16)	2842379046050833693	0 6 10 40 48 54 84 106 108 130 160 166 174 204 208 214	-361735839064
SPT(16)	2842379089518348431	0 8 30 32 36 50 80 176 192 288 318 332 336 338 360 368	-318268324326
STPT(10)	2842379157250395611	0 2 30 32 60 62 90 92 120 122	-250536277146
SPT(16)	2842379280904045313	0 18 30 54 56 68 126 186 278 338 396 408 410 434 446 464	-126882627444
STPT(10)	2842379394761799647	0 2 60 62 72 74 84 86 144 146	-13024873110
SPT(16)	2842379438881204091	0 6 20 42 56 90 126 182 210 266 302 336 350 372 386 392	31094531334
SPT(16)	2842379639115449189	0 32 80 84 102 128 170 204 368 402 444 470 488 492 540 572	231328776432
TPT(14)	2842379931949782221	0 2 6 8 60 62 138 140 180 182 216 218 270 272	524163109464
STPT(10)	2842380236526309497	0 2 42 44 72 74 102 104 144 146	828739636740
SPT(16)	2842380753076802989	0 10 24 34 72 88 94 112 150 168 174 190 228 238 252 262	1345290130232