Prime p₀= 789796079000804429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 22 2 58 2 94 2 58 2 40 2 (?)
a_n: 0 2 138 140 162 164 222 224 318 320 378 380 420 422
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: 422
Found by: schoussi
db: batch=73, k=14, 136 22 58 94 58 40

STPT(12)	789795358280518487	0 2 42 44 60 62 102 104 120 122 162 164	-720720285942
TPT(22)	789795449254776509	0 2 18 20 42 44 72 74 108 110 138 140 240 242 252 254 270 272 318 320 360 362	-629746027920
SPT(16)	789795481111789759	0 40 60 132 150 172 190 210 214 234 252 274 292 364 384 424	-597889014670
SPT(16)	789795505494760789	0 10 148 150 154 190 220 258 280 318 348 384 388 390 528 538	-573506043640
SPT(16)	789795815115698333	0 24 48 68 98 104 108 126 158 176 180 186 216 236 260 284	-263885106096
SPT(16)	789795889880550173	0 20 38 66 74 98 110 126 158 174 186 210 218 246 264 284	-189120254256
STPT(10)	789796116674421287	0 2 12 14 72 74 132 134 144 146	37673616858
SPT(16)	789796135049198713	0 30 78 88 94 100 106 126 178 198 204 210 216 226 274 304	56048394284
SPT(16)	789796469754578947	0 22 90 112 114 126 150 156 160 166 190 202 204 226 294 316	390753774518
SPT(16)	789796517083356421	0 22 28 42 48 66 88 106 132 150 172 190 196 210 216 238	438082551992
SPT(16)	789796922142980341	0 22 42 108 150 168 192 196 252 256 280 298 340 406 426 448	843142175912