Prime p₀= 2152580045360828537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 16 2 118 2 10 2 70 2 (?)
a_n: 0 2 24 26 42 44 60 62 180 182 192 194 264 266
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: 266
Found by: ginga
db: batch=81, k=14, 22 16 16 118 10 70

STPT(10)	2152578957509372177	0 2 30 32 120 122 210 212 240 242	-1087851456360
SPT(16)	2152579037586508199	0 12 30 102 128 168 258 270 350 362 452 492 518 590 608 620	-1007774320338
SPT(16)	2152579091386323667	0 22 42 126 174 196 204 214 312 322 330 352 400 484 504 526	-953974504870
SPT(16)	2152579647537038099	0 42 72 78 84 144 150 158 174 182 188 248 254 260 290 332	-397823790438
TPT(14)	2152579799467022621	0 2 36 38 48 50 66 68 78 80 120 122 150 152	-245893805916
STPT(10)	2152579913708236709	0 2 48 50 90 92 132 134 180 182	-131652591828
TPT(14)	2152580178081681767	0 2 12 14 24 26 72 74 102 104 144 146 150 152	132720853230
TPT(14)	2152580421963941741	0 2 90 92 168 170 186 188 210 212 228 230 300 302	376603113204
TPT(14)	2152580450294478689	0 2 78 80 132 134 240 242 288 290 372 374 408 410	404933650152
STPT(10)	2152580712517577777	0 2 30 32 42 44 54 56 84 86	667156749240
STPT(10)	2152581565187836331	0 2 6 8 48 50 90 92 96 98	1519827007794