Prime p₀= 2693994954011688959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 202 2 88 2 46 2 16 2 (?)
a_n: 0 2 60 62 78 80 282 284 372 374 420 422 438 440
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: 440
Found by: biodoc
db: batch=82, k=14, 58 16 202 88 46 16

TPT(14)	2693993725088882129	0 2 90 92 132 134 180 182 210 212 222 224 270 272	-1228922806830
SPT(16)	2693993976033592553	0 14 54 74 110 138 150 210 248 308 320 348 384 404 444 458	-977978096406
TPT(14)	2693994039219592337	0 2 54 56 60 62 72 74 114 116 132 134 174 176	-914792096622
STPT(10)	2693994255578611169	0 2 18 20 30 32 42 44 60 62	-698433077790
SPT(16)	2693994344768427221	0 42 48 68 146 152 212 230 258 276 336 342 420 440 446 488	-609243261738
TPT(14)	2693994595676596109	0 2 42 44 78 80 162 164 228 230 282 284 300 302	-358335092850
SPT(16)	2693994976570059557	0 2 20 54 72 92 104 126 140 162 174 194 212 246 264 266	22558370598
SPT(16)	2693995262305684321	0 10 36 46 70 102 112 118 180 186 196 228 252 262 288 298	308293995362
SPT(16)	2693995525403831689	0 28 40 82 138 148 174 190 222 238 264 274 330 372 384 412	571392142730
STPT(10)	2693995665557635289	0 2 42 44 90 92 138 140 180 182	711545946330
SPT(16)	2693995701703371199	0 40 52 78 102 112 144 238 264 358 390 400 424 450 462 502	747691682240