Prime p₀= 2428742889109294529 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 16 2 22 2 16 2 28 2 (?)
a_n: 0 2 30 32 48 50 72 74 90 92 120 122
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: 122
Found by: paulteo
db: batch=82, k=12, 2 28 2 16 2 22

SPT(16)	2428740470444990321	0 6 32 50 60 96 132 140 222 230 266 302 312 330 356 362	-2418664304208
STPT(10)	2428741082313576851	0 2 6 8 18 20 30 32 36 38	-1806795717678
SPT(16)	2428741467692738251	0 18 102 118 130 138 162 172 198 208 232 240 252 268 352 370	-1421416556278
STPT(10)	2428741503312494231	0 2 36 38 78 80 120 122 156 158	-1385796800298
SPT(16)	2428741552511494001	0 6 42 56 68 96 116 126 152 162 182 210 222 236 272 278	-1336597800528
SPT(16)	2428742370896763353	0 38 54 80 90 104 108 126 158 176 180 194 204 230 246 284	-518212531176
SPT(16)	2428742971718602853	0 20 86 108 114 156 158 188 276 306 308 350 356 378 444 464	82609308324
STPT(10)	2428743219161563517	0 2 90 92 132 134 174 176 264 266	330052268988
SPT(16)	2428743553424067793	0 18 34 64 78 130 144 148 180 184 198 250 264 294 310 328	664314773264
TPT(14)	2428743774286595921	0 2 78 80 180 182 240 242 336 338 348 350 408 410	885177301392
STPT(10)	2428743959669909639	0 2 18 20 30 32 42 44 60 62	1070560615110