Prime p₀= 2382884066147451521 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 58 2 4 2 58 2 28 2 (?)
a_n: 0 2 30 32 90 92 96 98 156 158 186 188
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: 188
Found by: Landjunge
db: batch=81, k=12, 2 28 2 58 2 4

SPT(16)	2382883268027773009	0 4 22 30 58 94 108 130 132 154 168 204 232 240 258 262	-798119678512
SPT(16)	2382883305054236857	0 12 54 60 90 94 112 120 136 144 162 166 196 202 244 256	-761093214664
STPT(10)	2382883406346618179	0 2 42 44 90 92 138 140 180 182	-659800833342
STPT(10)	2382883420906617047	0 2 12 14 42 44 72 74 84 86	-645240834474
TPT(14)	2382883656492382739	0 2 42 44 48 50 120 122 132 134 192 194 222 224	-409655068782
STPT(10)	2382883996315380527	0 2 54 56 72 74 90 92 144 146	-69832070994
STPT(10)	2382884176386186587	0 2 90 92 102 104 114 116 204 206	110238735066
SPT(16)	2382884457618102703	0 28 46 84 94 96 136 144 250 258 298 300 310 348 366 394	391470651182
STPT(10)	2382884739145085699	0 2 18 20 30 32 42 44 60 62	672997634178
SPT(16)	2382884832373689271	0 60 90 160 166 180 192 238 270 316 328 342 348 418 448 508	766226237750
SPT(16)	2382885112252843129	0 10 18 40 60 78 94 142 150 198 214 232 252 274 282 292	1046105391608