Prime p₀= 410944800031735349 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 40 2 16 2 40 2 106 2 (?)
a_n: 0 2 30 32 72 74 90 92 132 134 240 242
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: 242
Found by: [SG-FC] hl
db: batch=70, k=12, 28 40 16 40 106

SPT(14)	410944747172737321	0 46 82 96 108 112 130 168 186 190 202 216 252 298	-52858998028
SPT(16)	410944747433522741	0 8 18 50 102 116 132 150 158 176 192 206 258 290 300 308	-52598212608
SPT(14)	410944764258443213	0 14 24 36 50 78 120 164 206 234 248 260 270 284	-35773292136
SPT(14)	410944772767171609	0 54 88 94 108 114 142 150 178 184 198 204 238 292	-27264563740
SPT(14)	410944793146183469	0 18 42 50 84 138 144 158 164 218 252 260 284 302	-6885551880
SPT(14)	410944798919278511	0 2 56 60 128 158 192 206 240 270 338 342 396 398	-1112456838
SPT(14)	410944800627679061	0 18 38 60 66 86 90 98 102 122 128 150 170 188	595943712
TPT(12)	410944805722020599	0 2 30 32 78 80 120 122 240 242 252 254	5690285250
SPT(14)	410944817540749867	0 22 34 36 40 42 72 124 154 156 160 162 174 196	17509014518
SPT(14)	410944818255110429	0 12 30 38 44 80 164 168 252 288 294 302 320 332	18223375080
SPT(14)	410944831372720679	0 2 20 30 60 140 168 212 240 320 350 360 378 380	31340985330