Prime p₀= 164999053150023569 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 34 2 40 2 58 2 (?)
a_n: 0 2 12 14 42 44 78 80 120 122 180 182
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: 182
Found by: [B@P] Daniel
db: batch=67, k=12, 10 28 34 40 58

SPT(14)	164999006496592349	0 14 30 32 44 68 78 134 144 168 180 182 198 212	-46653431220
SPT(14)	164999007166664197	0 10 22 52 90 150 156 190 196 256 294 324 336 346	-45983359372
SPT(14)	164999014335777211	0 22 42 52 118 126 142 336 352 360 426 436 456 478	-38814246358
SPT(14)	164999018975989813	0 6 16 90 96 114 130 180 196 214 220 294 304 310	-34174033756
SPT(14)	164999045611520101	0 42 46 90 126 132 160 168 196 202 238 282 286 328	-7538503468
SPT(14)	164999048690144651	0 12 48 50 66 72 78 140 146 152 168 170 206 218	-4459878918
TPT(12)	164999056453160117	0 2 114 116 144 146 180 182 222 224 240 242	3303136548
SPT(14)	164999061270323801	0 20 26 48 66 78 108 110 140 152 170 192 198 218	8120300232
TPT(12)	164999101676684309	0 2 150 152 168 170 192 194 222 224 240 242	48526660740
SPT(14)	164999102811330091	0 6 28 30 52 58 72 76 90 96 118 120 142 148	49661306522
SPT(14)	164999111704298021	0 8 80 86 90 96 98 120 122 128 132 138 210 218	58554274452