Prime p₀= 2743642803124476359 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 4 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 78 80 120 122 150 152
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: 152
Found by: Roadranner
db: batch=82, k=12, 2 28 2 40 2 4

SPT(16)	2743641330208342247	0 32 60 80 116 140 146 162 164 180 186 210 246 266 294 326	-1472916134112
TPT(14)	2743641832005576659	0 2 48 50 150 152 180 182 210 212 288 290 318 320	-971118899700
SPT(16)	2743641876418464293	0 18 24 30 44 60 90 98 156 164 194 210 224 230 236 254	-926706012066
SPT(16)	2743642370632711183	0 54 58 126 138 154 168 174 220 226 240 256 268 336 340 394	-432491765176
STPT(10)	2743642377843959489	0 2 18 20 60 62 102 104 120 122	-425280516870
STPT(10)	2743642519205653139	0 2 42 44 90 92 138 140 180 182	-283918823220
SPT(16)	2743642972119797261	0 2 8 20 26 42 62 78 140 156 176 192 198 210 216 218	168995320902
SPT(16)	2743643164458890761	0 12 36 42 70 82 100 112 126 138 156 168 196 202 226 238	361334414402
SPT(16)	2743643260885523417	0 12 14 32 50 54 102 114 122 134 182 186 204 222 224 236	457761047058
SPT(16)	2743643366952308621	0 12 86 92 108 140 168 198 260 290 318 350 366 372 446 458	563827832262
STPT(10)	2743643449485640367	0 2 12 14 42 44 72 74 84 86	646361164008