Prime p₀= 89172793837079759 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 154 2 58 2 10 2 10 2 (?)
a_n: 0 2 72 74 228 230 288 290 300 302 312 314
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: 314
Found by: bluestick.eu
db: batch=67, k=12, 70 154 58 10 10

SPT(14)	89172748810067029	0 18 148 238 240 274 294 304 324 358 360 450 580 598	-45027012730
SPT(14)	89172762495051667	0 22 46 60 66 70 90 106 126 130 136 150 174 196	-31342028092
TPT(12)	89172762556284611	0 2 66 68 138 140 150 152 156 158 330 332	-31280795148
TPT(12)	89172772986267767	0 2 42 44 60 62 264 266 324 326 354 356	-20850811992
SPT(14)	89172776588002727	0 36 42 102 116 152 176 180 204 240 254 314 320 356	-17249077032
TPT(12)	89172793518431417	0 2 60 62 84 86 132 134 210 212 240 242	-318648342
SPT(14)	89172809292933593	0 6 38 108 138 170 174 230 234 266 296 366 398 404	15455853834
TPT(12)	89172809400771431	0 2 96 98 306 308 318 320 366 368 570 572	15563691672
SPT(14)	89172810658830247	0 10 34 42 66 72 112 174 214 220 244 252 276 286	16821750488
TPT(12)	89172815205074351	0 2 78 80 90 92 126 128 156 158 246 248	21367994592
TPT(12)	89172820755276317	0 2 12 14 24 26 132 134 252 254 300 302	26918196558