Prime p₀= 2154308106900438899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 82 2 64 2 28 2 52 2 (?)
a_n: 0 2 12 14 18 20 102 104 168 170 198 200 252 254
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: 254
Found by: Paul
db: batch=81, k=14, 10 4 82 64 28 52

TPT(14)	2154307534192203161	0 2 30 32 48 50 90 92 120 122 210 212 228 230	-572708235738
SPT(16)	2154307750137397469	0 18 30 42 68 84 102 114 128 140 158 174 200 212 224 242	-356763041430
STPT(10)	2154307776698827829	0 2 48 50 60 62 72 74 120 122	-330201611070
SPT(16)	2154307784341834159	0 34 48 58 100 124 180 198 220 238 294 318 360 370 384 418	-322558604740
TPT(14)	2154307881010192799	0 2 12 14 48 50 90 92 150 152 168 170 210 212	-225890246100
SPT(16)	2154308007422031641	0 12 48 68 116 140 162 180 188 206 228 252 300 320 356 368	-99478407258
SPT(16)	2154308118812026379	0 20 24 90 114 132 140 144 170 174 182 200 224 290 294 314	11911587480
SPT(16)	2154308178945369287	0 24 42 110 144 150 224 234 242 252 326 332 366 434 452 476	72044930388
SPT(16)	2154308304649191709	0 22 30 40 78 82 84 118 204 238 240 244 282 292 300 322	197748752810
SPT(16)	2154308321955947803	0 16 18 24 64 88 148 178 246 276 336 360 400 406 408 424	215055508904
SPT(16)	2154308431767989411	0 6 36 38 80 96 110 162 206 258 272 288 330 332 362 368	324867550512