Prime p₀= 349220586346153649 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 34 2 28 2 22 2 16 2 (?)
a_n: 0 2 72 74 108 110 138 140 162 164 180 182
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: [SG-FC] hl
db: batch=70, k=12, 70 34 28 22 16

SPT(16)	349220521750690747	0 156 180 196 204 222 234 252 274 292 304 322 330 346 370 526	-64595462902
SPT(14)	349220526960750461	0 20 42 60 66 80 86 102 108 122 128 146 168 188	-59385403188
SPT(16)	349220529143239601	0 30 60 68 86 96 110 138 170 198 212 222 240 248 278 308	-57202914048
SPT(14)	349220558311150753	0 10 30 36 76 90 108 166 184 198 238 244 264 274	-28035002896
SPT(14)	349220572183809181	0 6 48 78 88 102 118 120 136 150 160 190 232 238	-14162344468
SPT(16)	349220575399478213	0 14 36 48 54 90 144 156 158 170 224 260 266 278 300 314	-10946675436
TPT(12)	349220643179809019	0 2 78 80 90 92 168 170 222 224 300 302	56833655370
TPT(12)	349220666554804151	0 2 6 8 48 50 90 92 156 158 186 188	80208650502
TPT(12)	349220668139728037	0 2 90 92 144 146 174 176 240 242 354 356	81793574388
SPT(14)	349220683678282541	0 26 98 110 116 126 146 192 212 222 228 240 312 338	97332128892
TPT(12)	349220694542594969	0 2 48 50 210 212 318 320 378 380 402 404	108196441320