Prime p₀= 1588492351593507587 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 40 2 34 2 40 2 40 2 (?)
a_n: 0 2 42 44 84 86 120 122 162 164 204 206
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: 206
Found by: emoga
db: batch=78, k=12, 2 40 2 40 2 34

SPT(16)	1588490705037623201	0 2 6 86 92 110 126 138 170 182 198 216 222 302 306 308	-1646555884386
TPT(14)	1588490967547268417	0 2 12 14 24 26 84 86 120 122 150 152 162 164	-1384046239170
SPT(16)	1588491543718932917	0 30 56 86 140 182 206 210 242 246 270 312 366 396 422 452	-807874574670
SPT(16)	1588492062943547059	0 18 78 88 132 174 180 202 210 232 238 280 324 334 394 412	-288649960528
STPT(10)	1588492136394624491	0 2 30 32 60 62 90 92 120 122	-215198883096
SPT(16)	1588492272376449157	0 72 76 90 100 124 154 186 310 342 372 396 406 420 424 496	-79217058430
SPT(16)	1588492714236807593	0 8 14 26 44 54 56 90 134 168 170 180 198 210 216 224	362643300006
SPT(16)	1588492832369680379	0 2 20 60 80 128 132 150 182 200 204 252 272 312 330 332	480776172792
TPT(14)	1588493162951123657	0 2 42 44 54 56 60 62 90 92 114 116 174 176	811357616070
SPT(16)	1588493305477151159	0 20 50 62 78 80 128 132 158 162 210 212 228 240 270 290	953883643572
SPT(16)	1588494134597743213	0 10 24 36 40 46 58 60 64 66 78 84 88 100 114 124	1783004235626