Prime p₀= 1030697615671103747 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 10 2 34 2 28 2 40 2 (?)
a_n: 0 2 24 26 42 44 54 56 90 92 120 122 162 164
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: 164
Found by: stoneageman
db: batch=76, k=14, 22 16 10 34 28 40

SPT(16)	1030697089872706099	0 18 28 42 54 88 114 120 292 298 324 358 370 384 394 412	-525798397648
SPT(16)	1030697094976633127	0 2 26 50 66 72 84 194 222 332 344 350 366 390 414 416	-520694470620
SPT(13)	1030697212321669391	0 36 42 66 72 102 156 210 240 246 270 276 312	-403349434356
STPT(10)	1030697283638271647	0 2 30 32 72 74 114 116 144 146	-332032832100
SPT(16)	1030697361883365557	0 6 86 122 132 146 170 216 296 342 366 380 390 426 506 512	-253787738190
SPT(16)	1030697553288242387	0 42 60 62 72 74 122 150 164 192 240 242 252 254 272 314	-62382861360
SPT(16)	1030697725108833083	0 8 24 26 30 60 66 96 98 128 134 164 168 170 186 194	109437729336
STPT(10)	1030697870075932319	0 2 18 20 30 32 42 44 60 62	254404828572
SPT(16)	1030698150120591587	0 12 56 60 104 194 200 204 242 246 252 342 386 390 434 446	534449487840
TPT(14)	1030698516549048089	0 2 12 14 138 140 150 152 162 164 210 212 240 242	900877944342
SPT(16)	1030698562934137597	0 22 154 166 174 192 196 222 274 300 304 322 330 342 474 496	947263033850