Prime p₀= 4001233023080987 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 16 2 148 2 88 2 118 2 (?)
a_n: 0 2 24 26 42 44 192 194 282 284 402 404
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: 404
Found by: paulteo
db: batch=61, k=12, 22 16 148 88 118

SPT(14)	4001194819367731	0 40 58 102 112 126 142 156 172 186 196 240 258 298	-38203713256
SPT(14)	4001197904521523	0 6 38 96 98 110 116 180 186 198 200 258 290 296	-35118559464
SPT(14)	4001198042860901	0 2 12 36 38 42 110 168 236 240 242 266 276 278	-34980220086
SPT(14)	4001205846293219	0 44 72 78 90 104 128 174 198 212 224 230 258 302	-27176787768
SPT(16)	4001220065893909	0 22 24 78 82 178 258 300 322 364 444 540 544 598 600 622	-12957187078
SPT(14)	4001220426263971	0 30 40 52 60 106 120 172 186 232 240 252 262 292	-12596817016
SPT(14)	4001236089236179	0 22 30 58 70 82 120 160 198 210 222 250 258 280	3066155192
TPT(12)	4001238138895397	0 2 54 56 180 182 204 206 264 266 330 332	5115814410
SPT(14)	4001241393564067	0 4 34 72 142 160 162 184 186 204 274 312 342 346	8370483080
STPT(10)	4001249610636371	0 2 36 38 78 80 120 122 156 158	16587555384
SPT(14)	4001252641083749	0 38 78 98 132 182 192 200 210 260 294 314 354 392	19618002762