Prime p₀= 115356662461394609 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 58 2 52 2 28 2 64 2 (?)
a_n: 0 2 78 80 138 140 192 194 222 224 288 290
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: 290
Found by: emoga
db: batch=67, k=12, 76 58 52 28 64

TPT(12)	115356583592734607	0 2 12 14 222 224 270 272 300 302 312 314	-78868660002
SPT(14)	115356592684049779	0 18 58 82 100 102 118 192 208 210 228 252 292 310	-69777344830
SPT(14)	115356600742084253	0 6 24 54 56 66 80 114 128 138 140 170 188 194	-61719310356
TPT(12)	115356606688782671	0 2 18 20 78 80 90 92 120 122 168 170	-55772611938
SPT(14)	115356635168699779	0 10 24 64 82 84 100 204 220 222 240 280 294 304	-27292694830
SPT(14)	115356645758781109	0 12 22 42 72 78 112 210 244 250 280 300 310 322	-16702613500
SPT(14)	115356679642361627	0 56 110 140 156 176 192 224 240 260 276 306 360 416	17180967018
SPT(14)	115356690090045983	0 20 36 74 120 134 146 258 270 284 330 368 384 404	27628651374
TPT(12)	115356693300005657	0 2 42 44 90 92 132 134 192 194 222 224	30838611048
SPT(14)	115356704123457403	0 24 28 40 90 106 120 124 138 154 204 216 220 244	41662062794
SPT(14)	115356708348972911	0 18 32 42 62 80 108 122 150 168 188 198 212 230	45887578302