Prime p₀= 796282249986040397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 10 2 136 2 46 2 190 2 (?)
a_n: 0 2 24 26 72 74 84 86 222 224 270 272 462 464
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: 464
Found by: Theadalus
db: batch=73, k=14, 22 46 10 136 46 190

SPT(16)	796281263186227309	0 12 78 82 124 144 154 162 280 288 298 318 360 364 430 442	-986799813088
STPT(10)	796281737873641931	0 2 6 8 18 20 30 32 36 38	-512112398466
SPT(16)	796281857836166459	0 2 44 60 90 132 140 158 174 192 200 242 272 288 330 332	-392149873938
STPT(10)	796281970719851177	0 2 72 74 102 104 132 134 204 206	-279266189220
SPT(16)	796282067355977639	0 48 50 108 134 170 188 210 218 240 258 294 320 378 380 428	-182630062758
STPT(10)	796282138951249199	0 2 18 20 30 32 42 44 60 62	-111034791198
STPT(10)	796282416212937257	0 2 42 44 102 104 162 164 204 206	166226896860
SPT(16)	796282451020489141	0 30 42 52 70 100 112 120 178 186 198 228 246 256 268 298	201034448744
SPT(16)	796282943098398157	0 54 72 76 96 100 114 150 166 202 216 220 240 244 262 316	693112357760
SPT(16)	796282964368876037	0 42 50 102 126 140 152 174 182 204 216 230 254 306 314 356	714382835640
SPT(18)	796283285577792029	0 90 138 162 168 252 294 314 320 372 378 398 440 524 530 554 602 692	1035591751632