Prime p₀= 347338656868701227 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 76 2 88 2 40 2 16 2 (?)
a_n: 0 2 42 44 120 122 210 212 252 254 270 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=70, k=12, 40 76 88 40 16

TPT(12)	347338577160495719	0 2 42 44 78 80 138 140 168 170 198 200	-79708205508
SPT(14)	347338614524722903	0 10 40 64 78 84 154 174 244 250 264 288 318 328	-42343978324
SPT(14)	347338616680881173	0 24 54 74 78 80 116 168 204 206 210 230 260 284	-40187820054
TPT(12)	347338631510641481	0 2 6 8 126 128 198 200 216 218 228 230	-25358059746
SPT(14)	347338636002927571	0 10 30 46 66 72 78 100 106 112 132 148 168 178	-20865773656
SPT(14)	347338650398653801	0 16 28 42 118 130 132 136 138 150 226 240 252 268	-6470047426
SPT(14)	347338663880484839	0 14 68 72 114 138 150 212 224 248 290 294 348 362	7011783612
SPT(14)	347338683173346413	0 86 96 146 164 168 180 224 236 240 258 308 318 404	26304645186
TPT(12)	347338740796079861	0 2 36 38 78 80 108 110 180 182 210 212	83927378634
SPT(14)	347338744265173369	0 18 34 78 112 114 118 144 148 150 184 228 244 262	87396472142
SPT(14)	347338763317134101	0 30 32 36 50 78 102 116 140 168 182 186 188 218	106448432874