Prime p₀= 120117161061352319 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 40 2 40 2 34 2 28 2 (?)
a_n: 0 2 18 20 60 62 102 104 138 140 168 170
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: 170
Found by: amazing
db: batch=67, k=12, 16 40 40 34 28

SPT(14)	120117086673278657	0 36 56 72 74 86 110 186 210 222 224 240 260 296	-74388073662
SPT(14)	120117098588864719	0 12 70 94 102 112 130 132 150 160 168 192 250 262	-62472487600
TPT(12)	120117110965685957	0 2 12 14 30 32 54 56 60 62 114 116	-50095666362
SPT(14)	120117117289489651	0 22 42 52 66 100 102 160 162 196 210 220 240 262	-43771862668
SPT(14)	120117124497386551	0 12 28 30 52 58 90 160 192 198 220 222 238 250	-36563965768
SPT(14)	120117141869409889	0 40 70 94 114 142 172 330 360 388 408 432 462 502	-19191942430
SPT(14)	120117174876102311	0 18 96 146 168 186 200 216 230 248 270 320 398 416	13814749992
SPT(14)	120117188990605973	0 26 36 56 74 96 104 180 188 210 228 248 258 284	27929253654
SPT(14)	120117199388131763	0 24 74 90 168 186 188 276 278 296 374 390 440 464	38326779444
SPT(14)	120117203509713023	0 6 8 14 50 78 96 98 116 144 180 186 188 194	42448360704
SPT(14)	120117204639693181	0 40 42 120 130 138 148 222 232 240 250 328 330 370	43578340862