Prime p₀= 1953996599578750409 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 42 44 48 50 60 62
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: 62
Found by: hase
db: batch=80, k=12, 2 10 2 4 2 22

STPT(10)	1953995358254325509	0 2 12 14 30 32 48 50 60 62	-1241324424900
STPT(10)	1953995368234213361	0 2 36 38 78 80 120 122 156 158	-1231344537048
SPT(16)	1953995680932381263	0 14 30 48 80 104 126 144 170 188 210 234 266 284 300 314	-918646369146
TPT(14)	1953995895922857287	0 2 12 14 54 56 144 146 282 284 294 296 312 314	-703655893122
STPT(10)	1953996341804512541	0 2 6 8 48 50 90 92 96 98	-257774237868
SPT(16)	1953996599578750367	0 36 42 44 54 56 60 62 84 86 90 92 102 104 110 146	-42
STPT(10)	1953996895991993519	0 2 18 20 30 32 42 44 60 62	296413243110
STPT(10)	1953996958400683277	0 2 54 56 72 74 90 92 144 146	358821932868
SPT(16)	1953997165168853083	0 16 28 58 90 114 168 210 214 256 310 334 366 396 408 424	565590102674
STPT(10)	1953997186826560199	0 2 18 20 30 32 42 44 60 62	587247809790
SPT(16)	1953997478523345553	0 46 100 106 124 184 210 214 240 244 270 330 348 354 408 454	878944595144