Prime p₀= 1806117614790139331 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 124 2 70 2 28 2 70 2 124 2 (?)
a_n: 0 2 126 128 198 200 228 230 300 302 426 428
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: 428
Found by: Orange Kid
db: batch=79, k=12, 2 124 2 70 2 28

SPT(16)	1806115721483469197	0 32 42 74 120 140 152 176 180 204 216 236 282 314 324 356	-1893306670134
SPT(16)	1806115838413275793	0 10 28 54 108 196 238 250 264 276 318 406 460 486 504 514	-1776376863538
TPT(14)	1806116484672178169	0 2 12 14 78 80 150 152 192 194 210 212 240 242	-1130117961162
SPT(16)	1806116596703023433	0 38 56 78 86 140 156 164 210 218 234 288 296 318 336 374	-1018087115898
STPT(10)	1806117140802876929	0 2 18 20 30 32 42 44 60 62	-473987262402
SPT(16)	1806117373753639711	0 6 48 70 76 88 108 118 120 130 150 162 168 190 232 238	-241036499620
TPT(14)	1806117670993992437	0 2 90 92 102 104 132 134 180 182 240 242 252 254	56203853106
SPT(16)	1806117841516808597	0 26 44 56 74 84 134 254 276 396 446 456 474 486 504 530	226726669266
SPT(20)	1806117856603445839	0 18 58 90 130 150 208 234 240 264 298 322 328 354 412 432 472 504 544 562	241813306508
STPT(10)	1806117884249439791	0 2 30 32 60 62 90 92 120 122	269459300460
TPT(14)	1806117930005241659	0 2 42 44 72 74 78 80 228 230 288 290 300 302	315215102328