Prime p₀= 136566955294093631 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 40 2 40 2 16 2 166 2 (?)
a_n: 0 2 66 68 108 110 150 152 168 170 336 338
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: 338
Found by: emoga
db: batch=67, k=12, 64 40 40 16 166

SPT(14)	136566868007056621	0 12 28 52 70 78 112 138 172 180 198 222 238 250	-87287037010
SPT(14)	136566879130369637	0 6 32 56 60 92 102 134 144 176 180 204 230 236	-76163723994
SPT(14)	136566894644764651	0 6 16 40 132 160 162 166 168 196 288 312 322 328	-60649328980
SPT(14)	136566908858982059	0 14 50 68 84 110 120 152 162 188 204 222 258 272	-46435111572
SPT(14)	136566915636324653	0 36 78 86 116 156 168 176 188 228 258 266 308 344	-39657768978
SPT(14)	136566945279068251	0 22 30 72 76 90 96 142 148 162 166 208 216 238	-10015025380
SPT(16)	136566958295756939	0 14 20 42 48 54 90 98 144 152 188 194 200 222 228 242	3001663308
SPT(14)	136566972628664587	0 16 66 94 106 136 144 286 294 324 336 364 414 430	17334570956
SPT(14)	136567009882418779	0 42 54 94 112 124 154 210 240 252 270 310 322 364	54588325148
SPT(14)	136567011468025601	0 8 50 56 66 72 78 80 86 92 102 108 150 158	56173931970
TPT(12)	136567014676774931	0 2 60 62 96 98 168 170 198 200 228 230	59382681300