Prime p₀= 997709529752866037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 202 2 4 2 22 2 58 2 (?)
a_n: 0 2 90 92 120 122 324 326 330 332 354 356 414 416
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: 416
Found by: arkiss
db: batch=76, k=14, 88 28 202 4 22 58

SPT(16)	997708062083913289	0 22 28 48 70 82 84 88 114 118 120 132 154 174 180 202	-1467668952748
SPT(16)	997708147615333457	0 24 50 90 140 162 174 206 210 242 254 276 326 366 392 416	-1382137532580
STPT(10)	997708442712233771	0 2 36 38 78 80 120 122 156 158	-1087040632266
SPT(16)	997708533889069643	0 50 56 60 68 98 116 128 186 198 216 246 254 258 264 314	-995863796394
SPT(16)	997708630680861559	0 4 22 94 102 108 118 150 172 204 214 220 228 300 318 322	-899072004478
SPT(16)	997708734837201857	0 44 54 84 86 92 110 116 120 126 144 150 152 182 192 236	-794915664180
STPT(12)	997709706044614181	0 2 36 38 48 50 78 80 90 92 126 128	176291748144
SPT(16)	997709909485909651	0 42 48 82 96 118 126 148 180 202 210 232 246 280 286 328	379733043614
STPT(10)	997710026579270957	0 2 30 32 42 44 54 56 84 86	496826404920
SPT(16)	997710048556189907	0 12 14 42 50 56 74 80 96 102 120 126 134 162 164 176	518803323870
TPT(14)	997710384920996399	0 2 120 122 132 134 162 164 198 200 252 254 300 302	855168130362