Prime p₀= 486975014626934081 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 70 2 154 2 22 2 4 2 (?)
a_n: 0 2 78 80 150 152 306 308 330 332 336 338
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: 338
Found by: Vitalii Koshura
db: batch=70, k=12, 76 70 154 22 4

SPT(14)	486974962731613969	0 42 48 70 142 162 204 208 250 270 342 364 370 412	-51895320112
SPT(14)	486974969350524211	0 42 78 102 138 156 162 166 172 190 226 250 286 328	-45276409870
SPT(14)	486974977714507157	0 24 50 74 80 84 96 140 152 156 162 186 212 236	-36912426924
SPT(14)	486974979120543337	0 6 30 34 40 72 90 106 124 156 162 166 190 196	-35506390744
SPT(14)	486974985558661939	0 10 42 52 58 108 118 174 184 234 240 250 282 292	-29068272142
SPT(14)	486974991106242601	0 48 58 138 180 198 240 250 292 310 352 432 442 490	-23520691480
TPT(12)	486975020285608427	0 2 42 44 72 74 102 104 144 146 180 182	5658674346
STPT(10)	486975020285608427	0 2 42 44 72 74 102 104 144 146	5658674346
SPT(14)	486975032539183619	0 14 48 60 90 140 144 158 162 212 242 254 288 302	17912249538
SPT(14)	486975077238929327	0 44 54 80 90 110 114 122 126 146 156 182 192 236	62611995246
SPT(14)	486975093122918087	0 42 90 102 116 140 174 182 216 240 254 266 314 356	78495984006