Prime p₀= 2697050945294013167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 130 2 16 2 10 2 46 2 (?)
a_n: 0 2 30 32 60 62 192 194 210 212 222 224 270 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 28 28 130 16 10 46

STPT(10)	2697049963651244819	0 2 48 50 60 62 72 74 120 122	-981642768348
SPT(16)	2697050394347997113	0 24 90 104 114 126 144 200 240 296 314 326 336 350 416 440	-550946016054
SPT(16)	2697050444682990829	0 4 42 60 102 124 130 210 214 294 300 322 364 382 420 424	-500611022338
STPT(10)	2697050459346863687	0 2 60 62 72 74 84 86 144 146	-485947149480
STPT(10)	2697050583160910159	0 2 78 80 120 122 162 164 240 242	-362133103008
TPT(14)	2697050621507333891	0 2 90 92 120 122 126 128 156 158 198 200 216 218	-323786679276
SPT(16)	2697051048497260657	0 34 42 52 76 90 100 132 154 186 196 210 234 244 252 286	103203247490
SPT(16)	2697051560049087113	0 38 68 80 110 120 140 158 186 204 224 234 264 276 306 344	614755073946
STPT(10)	2697051593269514207	0 2 24 26 42 44 60 62 84 86	647975501040
SPT(16)	2697051648988844179	0 18 42 54 70 84 88 102 190 204 208 222 238 250 274 292	703694831012
SPT(16)	2697051747111258473	0 14 56 60 114 126 128 156 158 186 188 200 254 258 300 314	801817245306