Prime p₀= 978962635131274037 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 202 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 264 266 294 296 324 326
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: 326
Found by: stoneageman
db: batch=76, k=12, 2 28 2 28 2 202

SPT(16)	978961528062912923	0 26 48 68 74 86 114 146 168 200 228 240 246 266 288 314	-1107068361114
TPT(14)	978961780334736047	0 2 42 44 174 176 210 212 222 224 252 254 300 302	-854796537990
STPT(10)	978961814907587057	0 2 30 32 42 44 54 56 84 86	-820223686980
SPT(16)	978962027514093509	0 8 18 42 50 98 102 122 228 248 252 300 308 332 342 350	-607617180528
SPT(16)	978962428741900297	0 16 30 90 142 154 156 160 186 190 192 204 256 316 330 346	-206389373740
SPT(16)	978962469701705519	0 2 18 30 38 44 132 150 182 200 288 294 302 314 330 332	-165429568518
STPT(10)	978962638480483607	0 2 30 32 42 44 54 56 84 86	3349209570
SPT(16)	978962715615468799	0 24 40 42 94 108 124 130 132 138 154 168 220 222 238 262	80484194762
STPT(10)	978962733404424401	0 2 6 8 48 50 90 92 96 98	98273150364
SPT(16)	978962881897851619	0 10 40 42 48 58 108 124 168 184 234 244 250 252 282 292	246766577582
STPT(10)	978962924261353817	0 2 30 32 60 62 90 92 120 122	289130079780