Prime p₀= 2716262628884121011 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 4 2 82 2 4 2 28 2 (?)
a_n: 0 2 30 32 36 38 120 122 126 128 156 158
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: 158
Found by: JayPi
db: batch=82, k=12, 2 28 2 4 2 82

SPT(16)	2716260850368805933	0 4 58 124 138 190 198 216 238 256 264 316 330 396 450 454	-1778515315078
STPT(10)	2716260853035759059	0 2 30 32 60 62 90 92 120 122	-1775848361952
SPT(16)	2716261270052814079	0 18 70 72 88 120 124 144 148 168 172 204 220 222 274 292	-1358831306932
SPT(16)	2716261491873948973	0 10 64 106 190 234 238 300 364 426 430 474 558 600 654 664	-1137010172038
SPT(16)	2716261731046793681	0 38 48 50 56 72 78 92 126 140 146 162 168 170 180 218	-897837327330
SPT(16)	2716262349911387341	0 22 36 42 58 72 78 100 108 130 136 150 166 172 186 208	-278972733670
STPT(10)	2716263036491151137	0 2 12 14 42 44 72 74 84 86	407607030126
SPT(16)	2716263045196338541	0 30 36 40 46 70 100 120 148 168 198 222 228 232 238 268	416312217530
STPT(10)	2716263113509974209	0 2 18 20 30 32 42 44 60 62	484625853198
TPT(14)	2716263214128830981	0 2 30 32 60 62 96 98 138 140 156 158 198 200	585244709970
TPT(14)	2716263514314857231	0 2 18 20 48 50 96 98 126 128 168 170 180 182	885430736220