Prime p₀= 2697016049648703617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 16 2 40 2 40 2 64 2 (?)
a_n: 0 2 42 44 72 74 90 92 132 134 174 176 240 242
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: 242
Found by: biodoc
db: batch=82, k=14, 40 28 16 40 40 64

TPT(14)	2697013576706028689	0 2 18 20 90 92 102 104 168 170 180 182 258 260	-2472942674928
STPT(10)	2697013657607064251	0 2 30 32 78 80 126 128 156 158	-2392041639366
STPT(12)	2697013974974282081	0 2 18 20 60 62 96 98 138 140 156 158	-2074674421536
STPT(12)	2697014246118228347	0 2 24 26 54 56 120 122 150 152 174 176	-1803530475270
TPT(14)	2697014698983956927	0 2 102 104 114 116 144 146 162 164 174 176 210 212	-1350664746690
SPT(16)	2697014870774358331	0 18 42 66 70 112 138 190 228 280 306 348 352 376 400 418	-1178874345286
STPT(10)	2697016392767268191	0 2 6 8 48 50 90 92 96 98	343118564574
SPT(16)	2697017074944153457	0 30 40 42 60 82 90 112 144 166 174 196 214 216 226 256	1025295449840
SPT(16)	2697017324242189283	0 44 56 60 86 140 210 230 234 254 324 378 404 408 420 464	1274593485666
STPT(10)	2697017885876229269	0 2 48 50 90 92 132 134 180 182	1836227525652
STPT(10)	2697017945957666657	0 2 30 32 42 44 54 56 84 86	1896308963040