Prime p₀= 1412155876737401837 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 22 2 154 2 22 2 58 2 (?)
a_n: 0 2 60 62 84 86 240 242 264 266 324 326
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: 326
Found by: Paul
db: batch=78, k=12, 2 58 2 22 2 154

STPT(10)	1412154737674454831	0 2 36 38 78 80 120 122 156 158	-1139062947006
SPT(16)	1412155445353485841	0 78 106 136 150 156 238 246 310 318 400 406 420 450 478 556	-431383915996
STPT(10)	1412155672410734369	0 2 18 20 30 32 42 44 60 62	-204326667468
STPT(10)	1412155755711986099	0 2 42 44 90 92 138 140 180 182	-121025415738
SPT(16)	1412155765251100253	0 18 48 60 66 86 126 140 216 230 270 290 296 308 338 356	-111486301584
SPT(16)	1412155784406547457	0 12 14 102 114 120 162 170 186 194 236 242 254 342 344 356	-92330854380
SPT(16)	1412156053849105141	0 76 90 100 106 126 148 156 250 258 280 300 306 316 330 406	177111703304
TPT(14)	1412156058696843737	0 2 12 14 60 62 102 104 132 134 144 146 180 182	181959441900
STPT(10)	1412156064190346549	0 2 42 44 90 92 138 140 180 182	187452944712
SPT(16)	1412156241735284777	0 42 50 56 84 110 116 140 216 240 246 272 300 306 314 356	364997882940
SPT(16)	1412156357602171457	0 72 96 110 122 210 240 246 266 272 302 390 402 416 440 512	480864769620