Prime p₀= 1084974141796717607 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: crashtech
db: batch=76, k=12, 2 10 2 10 2 4

STPT(10)	1084973628877853357	0 2 30 32 42 44 54 56 84 86	-512918864250
SPT(16)	1084973765382019349	0 50 68 72 78 90 102 132 140 170 182 194 200 204 222 272	-376414698258
SPT(16)	1084973912831596301	0 26 120 140 170 182 198 210 218 230 246 258 288 308 402 428	-228965121306
SPT(16)	1084974012906682537	0 4 66 70 100 112 126 162 184 220 234 246 276 280 342 346	-128890035070
SPT(16)	1084974138091814567	0 6 80 104 120 150 174 186 230 242 266 296 312 336 410 416	-3704903040
STPT(10)	1084974139484453039	0 2 48 50 90 92 132 134 180 182	-2312264568
STPT(10)	1084974366661694459	0 2 18 20 30 32 42 44 60 62	224864976852
TPT(14)	1084974548907352679	0 2 78 80 90 92 162 164 168 170 252 254 288 290	407110635072
STPT(10)	1084974567524574371	0 2 30 32 168 170 306 308 336 338	425727856764
TPT(14)	1084974792999861821	0 2 30 32 36 38 78 80 126 128 156 158 180 182	651203144214
SPT(16)	1084974949809529981	0 28 52 60 66 118 132 142 186 196 210 262 268 276 300 328	808012812374