Prime p₀= 172516781786630549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 82 2 178 2 34 2 40 2 (?)
a_n: 0 2 48 50 78 80 162 164 342 344 378 380 420 422
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: 422
Found by: L@MiR
db: batch=67, k=14, 46 28 82 178 34 40

SPT(14)	172516719216571577	0 26 50 56 72 84 96 110 122 134 150 156 180 206	-62570058972
SPT(14)	172516733492846467	0 22 40 54 90 102 114 130 142 154 190 204 222 244	-48293784082
SPT(14)	172516739406326191	0 10 66 70 76 100 106 156 162 186 192 196 252 262	-42380304358
SPT(14)	172516746423266309	0 8 54 78 114 120 128 210 218 224 260 284 330 338	-35363364240
SPT(14)	172516751262877409	0 14 24 38 42 48 62 90 104 110 114 128 138 152	-30523753140
SPT(14)	172516768840139257	0 30 84 102 112 114 136 150 172 174 184 202 256 286	-12946491292
SPT(14)	172516784099682629	0 50 84 90 92 132 162 200 230 270 272 278 312 362	2313052080
SPT(14)	172516796139472973	0 14 66 90 96 104 156 248 300 308 314 338 390 404	14352842424
SPT(14)	172516808277007399	0 18 30 64 90 144 150 238 244 298 324 358 370 388	26490376850
SPT(14)	172516810817141471	0 20 38 50 66 80 126 212 258 272 288 300 318 338	29030510922
TPT(12)	172516842779241641	0 2 18 20 48 50 156 158 198 200 258 260	60992611092