Prime p₀= 2382826705391627849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 118 2 28 2 28 2 22 2 (?)
a_n: 0 2 30 32 48 50 168 170 198 200 228 230 252 254
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: [SG-2W]Kurzer
db: batch=81, k=14, 28 16 118 28 28 22

SPT(16)	2382825393790080947	0 12 30 32 50 54 74 110 126 162 182 186 204 206 224 236	-1311601546902
SPT(16)	2382825569950260731	0 30 36 48 62 80 86 98 150 162 168 186 200 212 218 248	-1135441367118
STPT(10)	2382825629518464509	0 2 30 32 120 122 210 212 240 242	-1075873163340
SPT(16)	2382826043611768987	0 12 40 64 94 130 154 162 172 180 204 240 270 294 322 334	-661779858862
STPT(10)	2382826377439703651	0 2 30 32 78 80 126 128 156 158	-327951924198
STPT(10)	2382826689751515989	0 2 42 44 60 62 78 80 120 122	-15640111860
SPT(16)	2382826813970329277	0 20 36 42 50 66 104 152 174 222 260 276 284 290 306 326	108578701428
TPT(14)	2382826845566243099	0 2 48 50 72 74 78 80 210 212 240 242 270 272	140174615250
STPT(10)	2382826992485404649	0 2 18 20 30 32 42 44 60 62	287093776800
SPT(16)	2382827223605246017	0 10 12 36 52 84 120 124 162 166 202 234 250 274 276 286	518213618168
SPT(16)	2382827305115582951	0 6 48 86 120 138 146 176 300 330 338 356 390 428 470 476	599723955102