Prime p₀= 929666604840730481 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 16 2 58 2 22 2 28 2 (?)
a_n: 0 2 60 62 138 140 156 158 216 218 240 242 270 272
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: 272
Found by: crashtech
db: batch=76, k=14, 58 76 16 58 22 28

SPT(16)	929665046345937817	0 16 34 40 42 82 100 112 144 156 174 214 216 222 240 256	-1558494792664
SPT(16)	929665441792268263	0 18 36 106 144 148 150 168 196 214 216 220 258 328 346 364	-1163048462218
STPT(10)	929665718446823357	0 2 24 26 42 44 60 62 84 86	-886393907124
TPT(14)	929665748328837977	0 2 42 44 120 122 132 134 144 146 210 212 312 314	-856511892504
SPT(16)	929666228681355289	0 10 18 24 78 94 120 130 168 178 204 220 274 280 288 298	-376159375192
SPT(16)	929666290667718397	0 6 76 106 114 126 136 160 276 300 310 322 330 360 430 436	-314173012084
STPT(10)	929666677208004941	0 2 6 8 18 20 30 32 36 38	72367274460
STPT(10)	929667010589989349	0 2 18 20 30 32 42 44 60 62	405749258868
SPT(16)	929667027460155599	0 60 90 104 108 150 174 200 222 248 272 314 318 332 362 422	422619425118
SPT(16)	929667183921656393	0 36 38 80 90 114 126 156 188 218 230 254 264 306 308 344	579080925912
STPT(10)	929667385590021821	0 2 30 32 138 140 246 248 276 278	780749291340