Prime p₀= 2296628634117817271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 52 2 28 2 46 2 10 2 148 2 (?)
a_n: 0 2 96 98 150 152 180 182 228 230 240 242 390 392
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: 392
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 94 52 28 46 10 148

TPT(14)	2296627360811795861	0 2 36 38 48 50 78 80 180 182 246 248 306 308	-1273306021410
TPT(16)	2296627387387816409	0 2 42 44 78 80 168 170 180 182 210 212 300 302 378 380	-1246730000862
TPT(14)	2296628063892469631	0 2 30 32 36 38 210 212 240 242 258 260 288 290	-570225347640
SPT(16)	2296628378743686107	0 30 32 42 60 66 96 110 156 170 200 206 224 234 236 266	-255374131164
SPT(16)	2296628437518795293	0 14 20 60 96 110 138 140 144 146 174 188 224 264 270 284	-196599021978
SPT(16)	2296628545304433643	0 4 18 64 88 94 106 118 186 198 210 216 240 286 300 304	-88813383628
SPT(16)	2296628838359635891	0 18 46 48 70 96 108 130 138 160 172 198 220 222 250 268	204241818620
STPT(10)	2296629511105403867	0 2 30 32 42 44 54 56 84 86	876987586596
STPT(10)	2296629615271497521	0 2 36 38 78 80 120 122 156 158	981153680250
SPT(16)	2296629762091332827	0 26 60 80 104 126 150 162 164 176 200 222 246 266 300 326	1127973515556
TPT(14)	2296629825884348567	0 2 42 44 54 56 90 92 114 116 174 176 240 242	1191766531296