Prime p₀= 2002388097720701387 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 22 2 34 2 22 2 28 2 (?)
a_n: 0 2 30 32 54 56 90 92 114 116 144 146
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: 146
Found by: Landjunge
db: batch=80, k=12, 2 28 2 22 2 34

SPT(16)	2002386600788834353	0 18 34 64 130 136 148 168 196 216 228 234 300 330 346 364	-1496931867034
STPT(10)	2002386654843583607	0 2 30 32 42 44 54 56 84 86	-1442877117780
SPT(16)	2002386884447902727	0 26 32 36 62 80 84 110 216 242 246 264 290 294 300 326	-1213272798660
TPT(14)	2002387051739951267	0 2 84 86 150 152 180 182 210 212 252 254 360 362	-1045980750120
SPT(16)	2002387403356230019	0 24 28 30 34 52 54 78 154 178 180 198 202 204 208 232	-694364471368
STPT(10)	2002387576726347857	0 2 12 14 72 74 132 134 144 146	-520994353530
SPT(16)	2002388625915476131	0 36 42 58 60 82 112 138 190 216 246 268 270 286 292 328	528194774744
STPT(10)	2002389037855344077	0 2 30 32 120 122 210 212 240 242	940134642690
TPT(14)	2002389268190298341	0 2 90 92 96 98 126 128 156 158 168 170 198 200	1170469596954
STPT(10)	2002389618161134121	0 2 78 80 108 110 138 140 216 218	1520440432734
SPT(16)	2002389632961253027	0 10 16 66 90 112 130 142 144 156 174 196 220 270 276 286	1535240551640