Prime p₀= 1173985919812982699 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 52 2 16 2 16 2 52 2 28 2 (?)
a_n: 0 2 78 80 132 134 150 152 168 170 222 224 252 254
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: xii5ku
db: batch=77, k=14, 76 52 16 16 52 28

SPT(16)	1173984544924723349	0 32 38 42 72 74 104 132 140 168 198 200 230 234 240 272	-1374888259350
SPT(16)	1173984821739387659	0 60 72 110 140 150 198 240 332 374 422 432 462 500 512 572	-1098073595040
SPT(16)	1173985371282168727	0 22 24 34 66 76 90 94 102 106 120 130 162 172 174 196	-548530813972
TPT(14)	1173985373184489221	0 2 30 32 108 110 180 182 276 278 306 308 360 362	-546628493478
STPT(10)	1173985671173933879	0 2 18 20 30 32 42 44 60 62	-248639048820
SPT(16)	1173985841959119229	0 28 52 78 82 130 144 160 222 238 252 300 304 330 354 382	-77853863470
STPT(10)	1173985919812982777	0 2 54 56 72 74 90 92 144 146	78
SPT(16)	1173986015357467159	0 4 22 42 94 108 112 172 330 390 394 408 460 480 498 502	95544484460
STPT(10)	1173986117537086277	0 2 30 32 72 74 114 116 144 146	197724103578
STPT(10)	1173986294109175361	0 2 126 128 138 140 150 152 276 278	374296192662
SPT(20)	1173986354612541487	0 6 40 66 124 132 156 234 304 330 406 432 502 580 604 612 670 696 730 736	434799558788