Prime p₀= 129489366756733349 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 28 2 106 2 40 2 (?)
a_n: 0 2 42 44 60 62 90 92 198 200 240 242
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: 242
Found by: L@MiR
db: batch=67, k=12, 40 16 28 106 40

SPT(16)	129489306952423337	0 2 12 72 86 164 170 174 212 216 222 300 314 374 384 386	-59804310012
SPT(14)	129489311571727967	0 30 60 72 116 126 132 140 146 156 200 212 242 272	-55185005382
SPT(14)	129489327308062591	0 16 72 88 100 106 108 190 192 198 210 226 282 298	-39448670758
SPT(14)	129489333773128639	0 30 52 60 70 78 102 118 142 150 160 168 190 220	-32983604710
TPT(12)	129489335849707901	0 2 60 62 90 92 138 140 198 200 270 272	-30907025448
TPT(12)	129489343273767131	0 2 18 20 48 50 180 182 198 200 210 212	-23482966218
SPT(14)	129489401873850581	0 2 36 38 50 66 68 180 182 198 210 212 246 248	35117117232
SPT(14)	129489404424651071	0 26 30 42 48 78 108 110 140 170 176 188 192 218	37667917722
SPT(16)	129489418641886673	0 6 24 44 86 128 146 170 234 258 276 318 360 380 398 404	51885153324
TPT(12)	129489436449066851	0 2 48 50 78 80 180 182 216 218 300 302	69692333502
SPT(14)	129489450881437613	0 38 68 80 98 114 116 288 290 306 324 336 366 404	84124704264