Prime p₀= 87661575757988231 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 40 2 76 2 10 2 4 2 (?)
a_n: 0 2 18 20 60 62 138 140 150 152 156 158
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: 158
Found by: nenym
db: batch=67, k=12, 16 40 76 10 4

SPT(14)	87661436117393843	0 48 50 56 110 188 224 300 336 414 468 474 476 524	-139640594388
SPT(14)	87661441819873487	0 12 20 42 60 62 80 126 144 146 164 186 194 206	-133938114744
SPT(14)	87661444661785669	0 22 24 34 64 82 90 112 120 138 168 178 180 202	-131096202562
SPT(14)	87661470794923489	0 10 24 28 52 60 78 94 112 120 144 148 162 172	-104963064742
STPT(10)	87661488721378301	0 2 36 38 78 80 120 122 156 158	-87036609930
SPT(14)	87661513476646339	0 72 130 132 138 142 154 228 240 244 250 252 310 382	-62281341892
SPT(14)	87661587727124981	0 8 30 42 92 98 120 230 252 258 308 320 342 350	11969136750
SPT(14)	87661588974490457	0 24 42 44 54 104 122 222 240 290 300 302 320 344	13216502226
SPT(14)	87661623220744319	0 50 92 134 140 162 180 224 242 264 270 312 354 404	47462756088
TPT(12)	87661630050564539	0 2 48 50 60 62 72 74 90 92 138 140	54292576308
SPT(14)	87661633612571981	0 2 20 98 156 180 186 212 218 242 300 378 396 398	57854583750