Prime p₀= 1919670099609927317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 88 2 10 2 64 2 130 2 (?)
a_n: 0 2 30 32 42 44 132 134 144 146 210 212 342 344
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: 344
Found by: Landjunge
db: batch=80, k=14, 28 10 88 10 64 130

SPT(16)	1919668985695315531	0 46 76 96 118 130 202 208 210 216 288 300 322 342 372 418	-1113914611786
TPT(14)	1919669049563255531	0 2 78 80 168 170 228 230 258 260 366 368 396 398	-1050046671786
SPT(16)	1919669119387090399	0 48 54 82 84 100 144 168 214 238 282 298 300 328 334 382	-980222836918
SPT(16)	1919669278170391637	0 2 14 30 36 50 74 110 186 222 246 260 266 282 294 296	-821439535680
SPT(16)	1919669956022183653	0 18 30 36 46 66 100 106 150 156 190 210 220 226 238 256	-143587743664
STPT(10)	1919669986528139141	0 2 6 8 18 20 30 32 36 38	-113081788176
TPT(14)	1919670747850245161	0 2 30 32 90 92 120 122 186 188 228 230 246 248	648240317844
STPT(10)	1919670893592542999	0 2 18 20 30 32 42 44 60 62	793982615682
SPT(16)	1919671241419390159	0 24 64 94 112 120 130 142 150 162 172 180 198 228 268 292	1141809462842
SPT(16)	1919671516369206491	0 6 8 38 42 48 80 90 128 138 170 176 180 210 212 218	1416759279174
SPT(16)	1919671548551808679	0 28 34 52 102 108 124 130 132 138 154 160 210 228 234 262	1448941881362