Prime p₀= 2475295993847663009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 10 2 106 2 28 2 28 2 (?)
a_n: 0 2 78 80 90 92 102 104 210 212 240 242 270 272
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: JayPi
db: batch=82, k=14, 76 10 10 106 28 28

SPT(16)	2475293059648656329	0 20 32 60 90 108 122 132 200 210 224 242 272 300 312 332	-2934199006680
STPT(10)	2475293426991015677	0 2 12 14 72 74 132 134 144 146	-2566856647332
STPT(10)	2475294582608462897	0 2 60 62 102 104 144 146 204 206	-1411239200112
SPT(16)	2475294837147994349	0 48 98 164 180 182 200 224 228 252 270 272 288 354 404 452	-1156699668660
SPT(16)	2475294953146851287	0 6 44 60 74 84 110 140 270 300 326 336 350 366 404 410	-1040700811722
SPT(16)	2475295948590044243	0 60 74 144 158 174 188 198 266 276 290 306 320 390 404 464	-45257618766
SPT(16)	2475296165891045597	0 72 102 140 150 162 170 174 242 246 254 266 276 314 344 416	172043382588
STPT(10)	2475296206668821717	0 2 24 26 42 44 60 62 84 86	212821158708
TPT(14)	2475296269296986477	0 2 12 14 42 44 60 62 114 116 144 146 432 434	275449323468
SPT(16)	2475296676191280181	0 16 58 60 88 106 108 126 172 190 192 210 238 240 282 298	682343617172
SPT(16)	2475296844192576331	0 46 70 76 88 90 100 130 168 198 208 210 222 228 252 298	850344913322