Prime p₀= 2906944428740191199 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 28 2 16 2 40 2 10 2 (?)
a_n: 0 2 42 44 90 92 120 122 138 140 180 182 192 194
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 194
Found by: Landjunge
db: batch=82, k=14, 40 46 28 16 40 10

SPT(16)	2906942581114065061	0 22 58 88 100 112 156 168 250 262 306 318 330 360 396 418	-1847626126138
SPT(16)	2906942815218136859	0 38 42 62 80 104 120 138 164 182 198 222 240 260 264 302	-1613522054340
TPT(14)	2906943226439341511	0 2 48 50 78 80 120 122 198 200 246 248 300 302	-1202300849688
SPT(16)	2906943877034856493	0 48 66 76 90 106 108 154 240 286 288 304 318 328 346 394	-551705334706
STPT(10)	2906943926797692239	0 2 132 134 150 152 168 170 300 302	-501942498960
STPT(10)	2906943979495475609	0 2 18 20 30 32 42 44 60 62	-449244715590
STPT(10)	2906944490512681439	0 2 42 44 60 62 78 80 120 122	61772490240
STPT(10)	2906944767172938377	0 2 30 32 72 74 114 116 144 146	338432747178
SPT(16)	2906945106235023457	0 10 22 30 60 84 102 114 142 154 172 196 226 234 246 256	677494832258
STPT(10)	2906945735442472481	0 2 6 8 18 20 30 32 36 38	1306702281282
SPT(16)	2906947228241677849	0 28 30 42 70 82 130 132 208 210 258 270 298 310 312 340	2799501486650