Prime p₀= 1919577513719052587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 58 2 64 2 28 2 28 2 (?)
a_n: 0 2 24 26 54 56 114 116 180 182 210 212 240 242
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: 242
Found by: Landjunge
db: batch=80, k=14, 22 28 58 64 28 28

SPT(16)	1919575649170249019	0 14 24 48 98 132 144 152 180 188 200 234 284 308 318 332	-1864548803568
STPT(10)	1919576216095834757	0 2 24 26 42 44 60 62 84 86	-1297623217830
STPT(10)	1919576619495757889	0 2 42 44 60 62 78 80 120 122	-894223294698
TPT(14)	1919576631664500617	0 2 54 56 90 92 144 146 222 224 240 242 312 314	-882054551970
SPT(16)	1919577072510760451	0 32 60 62 92 98 110 140 180 210 222 228 258 260 288 320	-441208292136
SPT(16)	1919577100907913691	0 58 88 138 142 160 166 208 270 312 318 336 340 390 420 478	-412811138896
STPT(10)	1919577632201622707	0 2 30 32 42 44 54 56 84 86	118482570120
STPT(10)	1919577640546781987	0 2 90 92 102 104 114 116 204 206	126827729400
SPT(16)	1919578127941415647	0 6 12 76 90 96 144 210 556 622 670 676 690 754 760 766	614222363060
STPT(10)	1919578570268019641	0 2 30 32 78 80 126 128 156 158	1056548967054
SPT(16)	1919578592744087377	0 22 34 60 72 82 90 130 156 196 204 214 226 252 264 286	1079025034790