Prime p₀= 79339208782631069 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 64 2 28 2 88 2 22 2 (?)
a_n: 0 2 42 44 108 110 138 140 228 230 252 254
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: 254
Found by: bluestick.eu
db: batch=67, k=12, 40 64 28 88 22

STPT(10)	79339124846279189	0 2 48 50 90 92 132 134 180 182	-83936351880
TPT(12)	79339129846410449	0 2 12 14 72 74 78 80 198 200 210 212	-78936220620
SPT(14)	79339160003336551	0 10 16 22 36 66 70 108 112 142 156 162 168 178	-48779294518
STPT(10)	79339170569694821	0 2 30 32 78 80 126 128 156 158	-38212936248
SPT(16)	79339177329886429	0 4 22 60 64 70 88 90 112 114 132 138 142 180 198 202	-31452744640
TPT(12)	79339191742354571	0 2 66 68 150 152 156 158 210 212 276 278	-17040276498
TPT(12)	79339212281297537	0 2 60 62 84 86 90 92 270 272 312 314	3498666468
SPT(14)	79339226803026577	0 4 6 34 100 112 156 160 204 216 282 310 312 316	18020395508
SPT(14)	79339235808310477	0 30 60 84 130 132 136 150 154 156 202 226 256 286	27025679408
SPT(14)	79339237751198099	0 38 48 54 104 108 132 140 164 168 218 224 234 272	28968567030
SPT(14)	79339239848572849	0 12 18 22 52 70 78 112 120 138 168 172 178 190	31065941780