Prime p₀= 456787906421984957 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 16 2 10 2 64 2 82 2 (?)
a_n: 0 2 24 26 42 44 54 56 120 122 204 206
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: 206
Found by: marsinph
db: batch=70, k=12, 22 16 10 64 82

SPT(14)	456787864095457759	0 88 102 138 144 154 160 222 228 238 244 280 294 382	-42326527198
SPT(14)	456787867951803499	0 28 82 100 132 144 180 202 238 250 282 300 354 382	-38470181458
SPT(14)	456787869988917787	0 52 102 124 136 144 150 166 172 180 192 214 264 316	-36433067170
SPT(14)	456787879249949369	0 24 78 92 108 114 132 170 188 194 210 224 278 302	-27172035588
SPT(14)	456787880929771453	0 30 46 54 58 66 84 100 118 126 130 138 154 184	-25492213504
SPT(14)	456787896766892903	0 6 50 56 80 90 108 158 176 186 210 216 260 266	-9655092054
SPT(16)	456787940159838583	0 18 36 46 90 114 118 148 156 186 190 214 258 268 286 304	33737853626
TPT(12)	456787943187459911	0 2 18 20 108 110 156 158 186 188 198 200	36765474954
SPT(14)	456787948135385129	0 8 32 42 90 98 102 170 174 182 230 240 264 272	41713400172
SPT(14)	456787970995458419	0 32 50 72 78 80 102 188 210 212 218 240 258 290	64573473462
TPT(12)	456787984509269759	0 2 78 80 90 92 150 152 162 164 222 224	78087284802