Prime p₀= 976934434115095241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 118 2 52 2 28 2 58 2 (?)
a_n: 0 2 30 32 36 38 156 158 210 212 240 242 300 302
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: 302
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 28 4 118 52 28 58

SPT(16)	976933617725263823	0 8 18 48 56 60 78 86 120 128 146 150 158 188 198 206	-816389831418
SPT(16)	976933688366498407	0 12 52 96 100 102 114 180 226 292 304 306 310 354 394 406	-745748596834
STPT(10)	976933699122124241	0 2 36 38 78 80 120 122 156 158	-734992971000
SPT(16)	976933849591568083	0 28 40 54 88 94 118 130 174 186 210 216 250 264 276 304	-584523527158
STPT(10)	976933938505227881	0 2 6 8 48 50 90 92 96 98	-495609867360
SPT(16)	976934320869155417	0 6 30 44 86 96 104 146 264 306 314 324 366 380 404 410	-113245939824
TPT(14)	976934544536149697	0 2 24 26 114 116 120 122 192 194 240 242 252 254	110421054456
STPT(10)	976934717812932161	0 2 6 8 48 50 90 92 96 98	283697836920
SPT(16)	976934988095811331	0 52 90 96 112 126 160 166 186 192 226 240 256 262 300 352	553980716090
SPT(16)	976935073691393959	0 4 24 28 42 64 72 88 174 190 198 220 234 238 258 262	639576298718
SPT(16)	976935198550308677	0 36 42 86 116 140 150 162 164 176 186 210 240 284 290 326	764435213436