Prime p₀= 1012157006055597377 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 16 2 88 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 132 134 150 152 174 176
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: 176
Found by: HenkM
db: batch=76, k=12, 2 22 2 16 2 88

SPT(16)	1012155842820072367	0 4 72 82 96 102 130 132 154 156 184 190 204 214 282 286	-1163235525010
STPT(10)	1012156224410035277	0 2 42 44 72 74 102 104 144 146	-781645562100
STPT(10)	1012156225235121677	0 2 42 44 72 74 102 104 144 146	-780820475700
STPT(10)	1012156447507774067	0 2 30 32 72 74 114 116 144 146	-558547823310
STPT(10)	1012156817006363009	0 2 18 20 60 62 102 104 120 122	-189049234368
SPT(16)	1012156881872063911	0 22 60 100 130 172 208 256 282 330 366 408 438 478 516 538	-124183533466
TPT(14)	1012157468960065889	0 2 60 62 102 104 108 110 192 194 270 272 312 314	462904468512
STPT(10)	1012157469046146749	0 2 18 20 30 32 42 44 60 62	462990549372
STPT(10)	1012157479927338761	0 2 30 32 78 80 126 128 156 158	473871741384
STPT(10)	1012157556913897871	0 2 36 38 78 80 120 122 156 158	550858300494
STPT(10)	1012157688064175711	0 2 36 38 78 80 120 122 156 158	682008578334