Prime p₀= 2379122003079883421 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 22 2 28 2 28 2 34 2 (?)
a_n: 0 2 66 68 96 98 120 122 150 152 180 182 216 218
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: 218
Found by: ChUcK
db: batch=81, k=14, 64 28 22 28 28 34

SPT(16)	2379120902601736451	0 2 42 60 68 78 138 168 212 242 302 312 320 338 378 380	-1100478146970
TPT(16)	2379120922308583571	0 2 30 32 66 68 138 140 150 152 156 158 180 182 198 200	-1080771299850
SPT(16)	2379121300408536631	0 10 90 120 126 150 168 190 246 268 286 310 316 346 426 436	-702671346790
SPT(16)	2379121335846630061	0 10 12 18 40 46 78 88 120 130 162 168 190 196 198 208	-667233253360
SPT(16)	2379121593653951581	0 10 12 18 52 136 162 178 240 256 282 366 400 406 408 418	-409425931840
TPT(14)	2379121693624084049	0 2 18 20 102 104 210 212 252 254 300 302 312 314	-309455799372
SPT(16)	2379122649128135971	0 16 46 48 82 106 126 142 186 202 222 246 280 282 312 328	646048252550
STPT(10)	2379123842291679407	0 2 12 14 42 44 72 74 84 86	1839211795986
SPT(16)	2379123846476852939	0 2 14 48 62 72 102 104 168 170 200 210 224 258 270 272	1843396969518
SPT(16)	2379124104186283577	0 2 26 30 32 56 114 126 200 212 270 294 296 300 324 326	2101106400156
SPT(16)	2379124288028827319	0 30 32 38 50 102 114 120 122 128 140 192 204 210 212 242	2284948943898