Prime p₀= 252899409904981451 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 88 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 96 98 108 110 120 122 126 128
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: 128
Found by: scrap
db: batch=69, k=12, 4 88 10 10 4

SPT(14)	252899354546894267	0 42 60 80 132 212 254 312 354 434 486 506 524 566	-55358087184
SPT(14)	252899355671834063	0 8 14 24 38 48 90 98 140 150 164 174 180 188	-54233147388
SPT(14)	252899361078825551	0 6 18 48 60 90 96 110 116 146 158 188 200 206	-48826155900
SPT(14)	252899367528526297	0 22 24 36 42 46 76 120 150 154 160 172 174 196	-42376455154
TPT(12)	252899375837437391	0 2 30 32 96 98 150 152 168 170 210 212	-34067544060
SPT(14)	252899401339863953	0 8 26 36 78 96 138 176 218 236 278 288 306 314	-8565117498
TPT(12)	252899410945650437	0 2 90 92 150 152 174 176 180 182 204 206	1040668986
SPT(14)	252899417539039853	0 8 18 36 50 66 80 156 170 186 200 218 228 236	7634058402
SPT(14)	252899442318780079	0 18 54 60 64 70 72 130 132 138 142 148 184 202	32413798628
SPT(14)	252899456712667993	0 28 30 34 100 210 258 280 328 438 504 508 510 538	46807686542
SPT(14)	252899457539079821	0 12 38 78 86 92 108 140 156 162 170 210 236 248	47634098370