Prime p₀= 2202408755819023859 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 10 2 64 2 58 2 118 2 (?)
a_n: 0 2 90 92 120 122 132 134 198 200 258 260 378 380
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: 380
Found by: Landjunge
db: batch=81, k=14, 88 28 10 64 58 118

SPT(16)	2202407006479687801	0 58 70 78 126 132 162 198 250 286 316 322 370 378 390 448	-1749339336058
SPT(16)	2202407268556102799	0 14 60 72 74 92 102 132 170 200 210 228 230 242 288 302	-1487262921060
SPT(16)	2202408058278415007	0 30 62 72 140 146 152 170 276 294 300 306 374 384 416 446	-697540608852
SPT(16)	2202408482662644797	0 2 6 14 90 104 114 134 162 182 192 206 282 290 294 296	-273156379062
STPT(10)	2202408649084547039	0 2 12 14 90 92 168 170 180 182	-106734476820
SPT(16)	2202408707201794037	0 62 84 114 140 144 150 174 182 206 212 216 242 272 294 356	-48617229822
STPT(10)	2202408888836781179	0 2 18 20 60 62 102 104 120 122	133017757320
STPT(12)	2202409526347697237	0 2 30 32 42 44 72 74 84 86 114 116	770528673378
SPT(16)	2202409610252621993	0 14 20 38 44 54 90 108 146 164 200 210 216 234 240 254	854433598134
SPT(16)	2202409636618716197	0 2 30 54 92 96 102 110 126 134 140 144 182 206 234 236	880799692338
SPT(16)	2202409679775692537	0 2 12 24 30 42 54 80 96 122 134 146 152 164 174 176	923956668678