Prime p₀= 1543348421052113309 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 28 2 34 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 138 140 168 170 240 242
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: 242
Found by: crashtech
db: batch=78, k=12, 2 70 2 28 2 34

STPT(10)	1543347891143055089	0 2 42 44 120 122 198 200 240 242	-529909058220
STPT(12)	1543347979833310559	0 2 30 32 42 44 228 230 240 242 270 272	-441218802750
SPT(16)	1543347986497553891	0 2 12 20 42 68 90 140 210 260 282 308 330 338 348 350	-434554559418
SPT(16)	1543348053490288219	0 12 42 88 174 202 240 264 298 322 360 388 474 520 550 562	-367561825090
TPT(14)	1543348133064209489	0 2 90 92 108 110 252 254 318 320 372 374 402 404	-287987903820
SPT(16)	1543348296008142499	0 12 30 58 72 88 108 142 150 184 204 220 234 262 280 292	-125043970810
SPT(16)	1543348532295799771	0 10 12 72 76 126 136 142 150 156 166 216 220 280 282 292	111243686462
STPT(10)	1543348715393633129	0 2 18 20 60 62 102 104 120 122	294341519820
SPT(16)	1543348875727652767	0 12 34 60 70 90 124 126 130 132 166 186 196 222 244 256	454675539458
SPT(13)	1543349095443259343	0 18 24 78 84 108 144 180 204 210 264 270 288	674391146034
STPT(10)	1543349199926245331	0 2 6 8 48 50 90 92 96 98	778874132022