Prime p₀= 2403700071200811587 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 76 2 40 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 162 164 240 242 282 284
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: 284
Found by: JayPi
db: batch=82, k=12, 2 40 2 76 2 40

SPT(16)	2403699332389135447	0 10 34 42 64 76 84 90 106 112 120 132 154 162 186 196	-738811676140
STPT(10)	2403699463028195597	0 2 42 44 72 74 102 104 144 146	-608172615990
SPT(16)	2403699824394420413	0 36 38 80 86 110 134 164 210 240 264 288 294 336 338 374	-246806391174
SPT(16)	2403699917611238957	0 2 54 84 104 110 152 156 170 174 216 222 242 272 324 326	-153589572630
STPT(10)	2403699941674573427	0 2 30 32 72 74 114 116 144 146	-129526238160
SPT(18)	2403700063616672503	0 18 46 106 130 148 156 184 190 204 210 238 246 264 288 348 376 394	-7584139084
STPT(10)	2403700592635110029	0 2 18 20 30 32 42 44 60 62	521434298442
STPT(10)	2403700653435269261	0 2 6 8 108 110 210 212 216 218	582234457674
SPT(16)	2403700735411168087	0 42 72 124 154 174 180 202 222 244 250 270 300 352 382 424	664210356500
TPT(14)	2403700946995185179	0 2 18 20 60 62 180 182 348 350 390 392 402 404	875794373592
STPT(10)	2403701167220966927	0 2 30 32 42 44 54 56 84 86	1096020155340