Prime p₀= 1842727201134623831 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 4 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 66 68 96 98 126 128
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: 128
Found by: modesti
db: batch=79, k=12, 2 28 2 28 2 4

SPT(16)	1842726126176060057	0 32 92 252 260 270 284 342 422 480 494 504 512 672 732 764	-1074958563774
SPT(13)	1842726537879670981	0 6 30 72 90 132 156 180 222 240 282 306 312	-663254952850
SPT(16)	1842726783417470569	0 10 28 34 72 82 90 108 124 142 150 160 198 204 222 232	-417717153262
SPT(16)	1842726792199721983	0 10 18 76 114 130 148 150 154 156 174 190 228 286 294 304	-408934901848
STPT(10)	1842726801932621741	0 2 36 38 168 170 300 302 336 338	-399202002090
STPT(10)	1842726819568410071	0 2 6 8 18 20 30 32 36 38	-381566213760
SPT(16)	1842727202759945377	0 36 52 72 100 142 166 172 204 210 234 276 304 324 340 376	1625321546
SPT(16)	1842727265710090567	0 16 84 112 124 132 156 184 222 250 274 282 294 322 390 406	64575466736
TPT(14)	1842727820689821521	0 2 78 80 156 158 210 212 240 242 306 308 330 332	619555197690
STPT(10)	1842727870415964281	0 2 36 38 78 80 120 122 156 158	669281340450
STPT(10)	1842728258573469887	0 2 42 44 72 74 102 104 144 146	1057438846056