Prime p₀= 2326635035830255937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 64 2 28 2 52 2 16 2 (?)
a_n: 0 2 24 26 54 56 120 122 150 152 204 206 222 224
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: 224
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 22 28 64 28 52 16

SPT(16)	2326634044682098729	0 12 22 70 114 132 142 160 204 222 232 250 294 342 352 364	-991148157208
TPT(14)	2326634174643191891	0 2 36 38 78 80 168 170 186 188 240 242 258 260	-861187064046
SPT(16)	2326634238034784231	0 12 38 56 60 78 80 102 116 138 140 158 162 180 206 218	-797795471706
TPT(14)	2326634540280828059	0 2 18 20 198 200 258 260 282 284 300 302 330 332	-495549427878
TPT(14)	2326634559779169371	0 2 6 8 30 32 96 98 186 188 198 200 210 212	-476051086566
TPT(14)	2326634568645086387	0 2 114 116 120 122 252 254 354 356 372 374 462 464	-467185169550
STPT(10)	2326635150259194947	0 2 12 14 42 44 72 74 84 86	114428939010
STPT(10)	2326635291548047097	0 2 90 92 102 104 114 116 204 206	255717791160
TPT(14)	2326635357123912299	0 2 78 80 90 92 168 170 180 182 252 254 288 290	321293656362
SPT(16)	2326635446520334529	0 2 42 48 138 140 152 164 198 210 222 224 314 320 360 362	410690078592
SPT(16)	2326635718324677209	0 2 80 150 170 182 192 198 242 248 258 270 290 360 438 440	682494421272