Prime p₀= 1690062547985991719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 4 2 70 2 16 2 22 2 (?)
a_n: 0 2 12 14 72 74 78 80 150 152 168 170 192 194
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: 194
Found by: RoXoR
db: batch=79, k=14, 10 58 4 70 16 22

TPT(14)	1690062053050943189	0 2 48 50 78 80 168 170 228 230 252 254 288 290	-494935048530
STPT(10)	1690062113721832187	0 2 30 32 42 44 54 56 84 86	-434264159532
SPT(16)	1690062243588444811	0 22 40 46 60 88 96 120 148 172 180 208 222 228 246 268	-304397546908
SPT(16)	1690062253506775903	0 34 54 60 76 88 118 126 178 186 216 228 244 250 270 304	-294479215816
SPT(16)	1690062269571882247	0 6 10 30 66 82 160 174 262 276 354 370 406 426 430 436	-278414109472
SPT(16)	1690062329039159827	0 22 36 52 72 94 142 154 162 174 222 244 264 280 294 316	-218946831892
SPT(16)	1690063039320668563	0 4 36 40 70 78 96 106 108 118 136 144 174 178 210 214	491334676844
SPT(16)	1690063054710228719	0 24 54 72 78 92 122 138 164 180 210 224 230 248 278 302	506724237000
STPT(10)	1690063142705140031	0 2 6 8 48 50 90 92 96 98	594719148312
STPT(10)	1690063253509775759	0 2 18 20 30 32 42 44 60 62	705523784040
SPT(16)	1690063457826253673	0 14 48 74 116 140 150 164 210 224 234 258 300 326 360 374	909840261954