Prime p₀= 1558579628277091559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 46 2 52 2 16 2 130 2 34 2 (?)
a_n: 0 2 150 152 198 200 252 254 270 272 402 404 438 440
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: 440
Found by: xii5ku
db: batch=78, k=14, 148 46 52 16 130 34

SPT(20)	1558578542358526453	0 6 10 64 78 90 94 108 144 178 186 220 256 270 274 286 300 354 358 364	-1085918565106
STPT(10)	1558578691656769199	0 2 18 20 30 32 42 44 60 62	-936620322360
SPT(16)	1558578798266145197	0 20 26 44 62 92 110 114 152 156 174 204 222 240 246 266	-830010946362
SPT(16)	1558578930829192361	0 56 60 62 90 92 122 162 206 246 276 278 306 308 312 368	-697447899198
SPT(16)	1558579363629956881	0 12 36 48 78 82 96 162 166 232 246 250 280 292 316 328	-264647134678
STPT(10)	1558579400241863927	0 2 12 14 72 74 132 134 144 146	-228035227632
SPT(16)	1558579644398863523	0 8 38 50 78 108 164 210 218 264 320 350 378 390 420 428	16121771964
SPT(18)	1558579884943717057	0 6 16 30 60 90 102 112 154 162 204 214 226 256 286 300 310 316	256666625498
TPT(14)	1558580010403522739	0 2 12 14 42 44 48 50 120 122 150 152 162 164	382126431180
SPT(16)	1558580409168926683	0 40 60 114 124 130 150 210 250 310 330 336 346 400 420 460	780891835124
SPT(16)	1558580495085457807	0 40 42 46 64 112 126 130 186 190 204 252 270 274 276 316	866808366248