Prime p₀= 995690469451244249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 52 2 34 2 40 2 28 2 10 2 (?)
a_n: 0 2 48 50 102 104 138 140 180 182 210 212 222 224
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: 224
Found by: crashtech
db: batch=76, k=14, 46 52 34 40 28 10

SPT(16)	995689444458856453	0 34 36 40 76 124 126 174 250 298 300 348 384 388 390 424	-1024992387796
TPT(14)	995689689658360397	0 2 42 44 54 56 84 86 120 122 150 152 204 206	-779792883852
SPT(16)	995689771449900349	0 34 40 54 60 84 174 258 280 364 454 478 484 498 504 538	-698001343900
SPT(16)	995689929831177143	0 24 30 54 56 78 128 134 210 216 266 288 290 314 320 344	-539620067106
SPT(16)	995690113929186397	0 22 42 82 96 100 156 210 226 280 336 340 354 394 414 436	-355522057852
SPT(16)	995690277187371427	0 6 16 34 54 82 114 120 166 172 204 232 252 270 280 286	-192263872822
STPT(12)	995690725371639929	0 2 30 32 60 62 102 104 132 134 162 164	255920395680
SPT(16)	995690758911209171	0 26 32 48 62 128 132 152 186 206 210 276 290 306 312 338	289459964922
STPT(10)	995691160206507431	0 2 6 8 18 20 30 32 36 38	690755263182
TPT(14)	995692076986434479	0 2 12 14 120 122 150 152 192 194 210 212 252 254	1607535190230
TPT(14)	995692250532156647	0 2 42 44 54 56 114 116 120 122 150 152 162 164	1781080912398