Prime p₀= 1120873213919259419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 58 2 82 2 16 2 46 2 (?)
a_n: 0 2 12 14 48 50 108 110 192 194 210 212 258 260
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: 260
Found by: stoneageman
db: batch=76, k=14, 10 34 58 82 16 46

SPT(16)	1120872586553307121	0 28 36 52 70 72 108 118 150 160 196 198 216 232 240 268	-627365952298
SPT(13)	1120872609405130969	0 24 30 78 84 90 204 318 324 330 378 384 408	-604514128450
SPT(16)	1120872898472000587	0 40 60 130 154 162 202 222 322 342 382 390 414 484 504 544	-315447258832
STPT(10)	1120873001369732591	0 2 30 32 78 80 126 128 156 158	-212549526828
STPT(10)	1120873094484539519	0 2 12 14 30 32 48 50 60 62	-119434719900
SPT(16)	1120873101301047617	0 6 42 74 110 150 152 162 164 174 176 216 252 284 320 326	-112618211802
TPT(14)	1120873536860306321	0 2 30 32 96 98 138 140 156 158 180 182 198 200	322941046902
SPT(16)	1120873703733566161	0 10 16 30 40 42 52 82 126 156 166 168 178 192 198 208	489814306742
STPT(10)	1120873795557834347	0 2 30 32 42 44 54 56 84 86	581638574928
SPT(16)	1120873933577532991	0 36 52 76 156 168 216 220 258 262 310 322 402 426 442 478	719658273572
STPT(10)	1120874828511114881	0 2 96 98 138 140 180 182 276 278	1614591855462