Prime p₀= 2628201168280691021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 70 2 28 2 100 2 4 2 40 2 (?)
a_n: 0 2 96 98 168 170 198 200 300 302 306 308 348 350
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: 350
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 94 70 28 100 4 40

SPT(16)	2628199542451197137	0 12 20 66 92 96 120 126 146 152 176 180 206 252 260 272	-1625829493884
STPT(10)	2628199941024637907	0 2 42 44 72 74 102 104 144 146	-1227256053114
STPT(10)	2628200058060081917	0 2 24 26 42 44 60 62 84 86	-1110220609104
STPT(12)	2628200241107875769	0 2 18 20 60 62 108 110 150 152 168 170	-927172815252
SPT(16)	2628201054818419699	0 34 82 84 90 94 112 142 150 180 198 202 208 210 258 292	-113462271322
STPT(10)	2628201087844366217	0 2 30 32 42 44 54 56 84 86	-80436324804
SPT(16)	2628201471626060563	0 16 18 34 78 84 120 126 178 184 220 226 270 286 288 304	303345369542
SPT(16)	2628201653922045623	0 48 56 66 74 116 144 146 168 170 198 240 248 258 266 314	485641354602
SPT(16)	2628201766273000121	0 32 42 86 92 102 140 180 182 222 260 270 276 320 330 362	597992309100
TPT(14)	2628201857962776341	0 2 36 38 78 80 108 110 120 122 138 140 210 212	689682085320
SPT(16)	2628202137008560031	0 56 66 78 110 122 132 192 236 296 306 318 350 362 372 428	968727869010