Prime p₀= 364817128429462991 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 28 2 82 2 4 2 40 2 (?)
a_n: 0 2 6 8 36 38 120 122 126 128 168 170
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: RFGuy_KCCO
db: batch=70, k=12, 4 28 82 4 40

SPT(14)	364817017579651951	0 28 30 66 130 132 150 178 196 198 262 298 300 328	-110849811040
TPT(12)	364817042840907269	0 2 42 44 72 74 90 92 138 140 198 200	-85588555722
TPT(12)	364817073834257927	0 2 120 122 150 152 192 194 414 416 444 446	-54595205064
SPT(14)	364817096282064109	0 4 22 48 52 60 82 90 112 120 124 150 168 172	-32147398882
SPT(14)	364817107937760403	0 6 48 58 66 76 100 126 150 160 168 178 220 226	-20491702588
SPT(14)	364817122127720707	0 16 60 76 142 144 154 162 172 174 240 256 300 316	-6301742284
TPT(12)	364817132966621987	0 2 54 56 150 152 210 212 234 236 240 242	4537158996
SPT(14)	364817138343514459	0 40 58 100 124 130 144 148 162 168 192 234 252 292	9914051468
SPT(14)	364817138647272901	0 30 36 46 72 76 88 90 102 106 132 142 148 178	10217809910
TPT(12)	364817176529754581	0 2 78 80 138 140 216 218 276 278 306 308	48100291590
SPT(14)	364817208778227419	0 14 42 60 62 114 144 158 188 240 242 260 288 302	80348764428