Prime p₀= 3010825744413173429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 16 2 58 2 10 2 10 2 (?)
a_n: 0 2 42 44 120 122 138 140 198 200 210 212 222 224
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]ATA-Rolf
db: batch=82, k=14, 40 76 16 58 10 10

SPT(16)	3010823593103848349	0 18 24 72 80 144 150 158 174 182 188 252 260 308 314 332	-2151309325080
TPT(14)	3010823998250564141	0 2 18 20 48 50 120 122 228 230 396 398 546 548	-1746162609288
STPT(10)	3010824018048230141	0 2 6 8 18 20 30 32 36 38	-1726364943288
STPT(10)	3010824873570854279	0 2 30 32 60 62 90 92 120 122	-870842319150
SPT(16)	3010824973080872609	0 50 62 90 128 132 134 188 204 258 260 264 302 330 342 392	-771332300820
STPT(10)	3010825719953831831	0 2 6 8 18 20 30 32 36 38	-24459341598
SPT(16)	3010825750126545317	0 2 36 50 96 116 176 180 182 186 246 266 312 326 360 362	5713371888
SPT(16)	3010826648695546321	0 28 42 70 78 112 172 180 190 198 258 292 300 328 342 370	904282372892
SPT(16)	3010826765708723477	0 24 60 84 92 104 126 162 164 200 222 234 242 266 302 326	1021295550048
STPT(10)	3010826794016706617	0 2 30 32 42 44 54 56 84 86	1049603533188
SPT(16)	3010827175121761663	0 24 64 76 78 90 100 126 148 174 184 196 198 210 250 274	1430708588234