Prime p₀= 291009577126997537 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 28 2 70 2 28 2 4 2 (?)
a_n: 0 2 42 44 72 74 144 146 174 176 180 182
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: 182
Found by: arkiss
db: batch=69, k=12, 40 28 70 28 4

SPT(14)	291009515128888849	0 40 54 90 108 118 124 138 144 154 172 208 222 262	-61998108688
SPT(16)	291009522507765169	0 10 28 34 78 82 84 94 108 118 120 124 168 174 192 202	-54619232368
SPT(14)	291009530432846809	0 12 22 24 70 72 82 180 190 192 238 240 250 262	-46694150728
SPT(14)	291009543162240593	0 8 18 56 126 188 194 210 216 278 348 386 396 404	-33964756944
TPT(12)	291009561749546681	0 2 18 20 66 68 150 152 156 158 186 188	-15377450856
SPT(14)	291009563807155499	0 18 50 102 138 150 182 228 260 272 308 360 392 410	-13319842038
SPT(14)	291009590093944237	0 42 90 96 102 106 120 256 270 274 280 286 334 376	12966946700
SPT(14)	291009596345723813	0 20 48 50 78 90 108 200 218 230 258 260 288 308	19218726276
TPT(12)	291009606791709917	0 2 12 14 24 26 60 62 72 74 102 104	29664712380
SPT(14)	291009617677968209	0 20 54 138 164 168 180 182 194 198 224 308 342 362	40550970672
TPT(12)	291009639238149911	0 2 6 8 78 80 120 122 186 188 210 212	62111152374