Prime p₀= 268936810714341071 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 76 2 40 2 16 2 40 2 (?)
a_n: 0 2 30 32 108 110 150 152 168 170 210 212
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: 212
Found by: arkiss
db: batch=69, k=12, 28 76 40 16 40

SPT(14)	268936676317653899	0 60 102 114 132 192 234 308 350 410 428 440 482 542	-134396687172
SPT(14)	268936707680169031	0 10 18 40 42 72 96 172 196 226 228 250 258 268	-103034172040
SPT(14)	268936734543003931	0 6 10 46 60 88 118 120 150 178 192 228 232 238	-76171337140
SPT(14)	268936756776669043	0 6 60 84 90 118 150 154 186 214 220 244 298 304	-53937672028
TPT(12)	268936759471182239	0 2 48 50 90 92 108 110 180 182 222 224	-51243158832
SPT(14)	268936810115714261	0 8 30 80 86 92 98 120 126 132 138 188 210 218	-598626810
SPT(14)	268936816294317803	0 66 78 86 98 108 114 140 146 156 168 176 188 254	5579976732
SPT(14)	268936820744327063	0 44 48 80 84 86 108 146 168 170 174 206 210 254	10029985992
SPT(16)	268936833484621019	0 32 42 78 92 134 138 170 252 284 288 330 344 380 390 422	22770279948
SPT(14)	268936840132445519	0 24 30 62 68 74 104 108 138 144 150 182 188 212	29418104448
SPT(14)	268936840910189743	0 40 78 88 90 100 106 180 186 196 198 208 246 286	30195848672