Prime p₀= 1362894917096982299 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 190 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 252 254 270 272 312 314
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: 314
Found by: HenkM
db: batch=77, k=12, 2 40 2 16 2 190

SPT(16)	1362893011587152047	0 6 30 46 66 84 114 160 210 256 286 304 324 340 364 370	-1905509830252
STPT(10)	1362893511871165367	0 2 30 32 60 62 90 92 120 122	-1405225816932
SPT(16)	1362893754111042463	0 30 46 48 78 88 148 150 154 156 216 226 256 258 274 304	-1162985939836
SPT(16)	1362893904739758749	0 8 30 68 80 98 102 168 194 260 264 282 294 332 354 362	-1012357223550
STPT(10)	1362894084465412979	0 2 18 20 30 32 42 44 60 62	-832631569320
SPT(18)	1362894443334373819	0 4 48 58 90 102 154 172 184 228 240 258 310 322 354 364 408 412	-473762608480
STPT(10)	1362895289812137407	0 2 42 44 72 74 102 104 144 146	372715155108
SPT(16)	1362895329539962877	0 24 36 54 114 180 246 260 270 284 350 416 476 494 506 530	412442980578
SPT(16)	1362895379045719579	0 48 58 130 162 180 184 190 222 228 232 250 282 354 364 412	461948737280
SPT(16)	1362895936203916801	0 12 60 96 102 112 120 126 142 148 156 166 172 208 256 268	1019106934502
STPT(10)	1362896190344582417	0 2 30 32 42 44 54 56 84 86	1273247600118