Prime p₀= 995815122959834057 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 28 2 118 2 28 2 16 2 (?)
a_n: 0 2 72 74 84 86 114 116 234 236 264 266 282 284
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: 284
Found by: Theadalus
db: batch=76, k=14, 70 10 28 118 28 16

SPT(16)	995813679564456551	0 2 38 42 68 80 108 126 152 170 198 210 236 240 276 278	-1443395377506
SPT(18)	995814116024808263	0 8 24 36 44 78 128 170 176 228 234 276 326 360 368 380 396 404	-1006935025794
TPT(14)	995814547672161827	0 2 42 44 192 194 210 212 234 236 294 296 330 332	-575287672230
STPT(10)	995814604072054997	0 2 24 26 42 44 60 62 84 86	-518887779060
STPT(10)	995814620748692747	0 2 30 32 72 74 114 116 144 146	-502211141310
SPT(16)	995814979726266883	0 28 58 106 126 178 208 234 310 336 366 418 438 486 516 544	-143233567174
TPT(14)	995815139667714599	0 2 60 62 120 122 132 134 210 212 270 272 342 344	16707880542
SPT(16)	995815162752611743	0 28 58 90 106 124 168 174 190 196 240 258 274 306 336 364	39792777686
SPT(16)	995815256015268037	0 46 66 94 100 114 136 142 144 150 172 186 192 220 240 286	133055433980
SPT(16)	995815480636003187	0 20 30 56 102 110 114 122 174 182 186 194 240 266 276 296	357676169130
STPT(10)	995815893367273541	0 2 66 68 138 140 210 212 276 278	770407439484