Prime p₀= 1097368144268817371 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 34 2 10 2 58 2 40 2 (?)
a_n: 0 2 30 32 60 62 96 98 108 110 168 170 210 212
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: 212
Found by: mikey
db: batch=76, k=14, 28 28 34 10 58 40

STPT(10)	1097366632961320661	0 2 36 38 78 80 120 122 156 158	-1511307496710
STPT(10)	1097367284538491171	0 2 6 8 18 20 30 32 36 38	-859730326200
STPT(10)	1097367315711454691	0 2 36 38 78 80 120 122 156 158	-828557362680
SPT(16)	1097367321161905769	0 2 20 24 44 54 152 204 308 360 458 468 488 492 510 512	-823106911602
STPT(10)	1097367657530812637	0 2 54 56 72 74 90 92 144 146	-486738004734
SPT(16)	1097368020896233123	0 16 34 36 64 66 70 154 240 324 328 330 358 360 378 394	-123372584248
STPT(10)	1097368230970307897	0 2 42 44 72 74 102 104 144 146	86701490526
TPT(14)	1097368277404274921	0 2 36 38 66 68 78 80 138 140 168 170 180 182	133135457550
STPT(10)	1097368350005617169	0 2 18 20 30 32 42 44 60 62	205736799798
SPT(16)	1097368974209810371	0 18 90 112 168 216 220 226 252 258 262 310 366 388 460 478	829940993000
STPT(10)	1097369091016414079	0 2 42 44 90 92 138 140 180 182	946747596708