Prime p₀= 1289494499506873769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 124 2 10 2 100 2 16 2 (?)
a_n: 0 2 18 20 42 44 168 170 180 182 282 284 300 302
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: 302
Found by: Cruncher Pete
db: batch=77, k=14, 16 22 124 10 100 16

SPT(16)	1289493994004058301	0 96 132 142 156 226 232 258 280 306 312 382 396 406 442 538	-505502815468
STPT(10)	1289494040152973507	0 2 30 32 72 74 114 116 144 146	-459353900262
SPT(16)	1289494368371108993	0 80 146 156 164 176 200 234 350 384 408 420 428 438 504 584	-131135764776
TPT(14)	1289494490951504021	0 2 6 8 30 32 120 122 156 158 198 200 288 290	-8555369748
STPT(10)	1289494496158263971	0 2 36 38 78 80 120 122 156 158	-3348609798
SPT(18)	1289494498867256761	0 6 18 22 28 58 66 132 136 252 256 322 330 360 366 370 382 388	-639617008
STPT(10)	1289494538154080717	0 2 30 32 42 44 54 56 84 86	38647206948
TPT(14)	1289494585546379867	0 2 174 176 180 182 222 224 270 272 312 314 504 506	86039506098
TPT(14)	1289494833254410829	0 2 48 50 60 62 138 140 198 200 228 230 252 254	333747537060
STPT(10)	1289495218687072121	0 2 6 8 48 50 90 92 96 98	719180198352
SPT(16)	1289495538453504913	0 16 18 46 48 70 90 136 150 196 216 238 240 268 270 286	1038946631144