Prime p₀= 1077922389006592859 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 124 2 10 2 40 2 16 2 (?)
a_n: 0 2 42 44 72 74 198 200 210 212 252 254 270 272
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: Theadalus
db: batch=76, k=14, 40 28 124 10 40 16

SPT(16)	1077921126628554281	0 20 72 78 110 138 146 152 156 162 170 198 230 236 288 308	-1262378038578
STPT(10)	1077921216754545311	0 2 30 32 78 80 126 128 156 158	-1172252047548
STPT(10)	1077921293031465497	0 2 24 26 42 44 60 62 84 86	-1095975127362
SPT(16)	1077921377278796549	0 44 48 74 108 204 228 240 302 314 338 434 468 494 498 542	-1011727796310
SPT(16)	1077921784558702999	0 10 48 84 94 112 130 138 214 222 240 258 268 304 342 352	-604447889860
SPT(16)	1077922241604151429	0 28 58 82 94 142 160 192 250 282 300 348 360 384 414 442	-147402441430
TPT(14)	1077922432020050501	0 2 66 68 258 260 288 290 318 320 390 392 420 422	43013457642
STPT(10)	1077922547394100097	0 2 30 32 42 44 54 56 84 86	158387507238
STPT(10)	1077922666773817091	0 2 78 80 108 110 138 140 216 218	277767224232
SPT(16)	1077922671120179303	0 14 18 20 24 38 44 48 56 60 66 80 84 86 90 104	282113586444
SPT(16)	1077923711165048233	0 90 126 150 154 168 238 264 400 426 496 510 514 538 574 664	1322158455374