Prime p₀= 2338719611282763209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 64 2 58 2 28 2 22 2 (?)
a_n: 0 2 42 44 72 74 138 140 198 200 228 230 252 254
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: 254
Found by: Landjunge
db: batch=81, k=14, 40 28 64 58 28 22

STPT(10)	2338718098521886259	0 2 12 14 90 92 168 170 180 182	-1512760876950
SPT(16)	2338718334047050619	0 2 42 68 108 132 140 152 210 222 230 254 294 320 360 362	-1277235712590
SPT(16)	2338718373116594383	0 48 54 84 88 90 148 154 180 186 244 246 250 280 286 334	-1238166168826
SPT(16)	2338718502481334891	0 12 80 86 110 128 140 152 156 168 180 198 222 228 296 308	-1108801428318
TPT(14)	2338718628152109779	0 2 30 32 78 80 90 92 132 134 162 164 168 170	-983130653430
SPT(16)	2338718938286310641	0 8 18 92 162 180 182 200 210 228 230 248 318 392 402 410	-672996452568
STPT(10)	2338720362326481569	0 2 18 20 60 62 102 104 120 122	751043718360
STPT(10)	2338720700129697617	0 2 24 26 42 44 60 62 84 86	1088846934408
STPT(10)	2338720945575577877	0 2 12 14 42 44 72 74 84 86	1334292814668
STPT(10)	2338721007148279067	0 2 30 32 42 44 54 56 84 86	1395865515858
STPT(10)	2338721214683716529	0 2 42 44 60 62 78 80 120 122	1603400953320