Prime p₀= 853556977332996089 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 10 2 34 2 40 2 88 2 (?)
a_n: 0 2 30 32 60 62 72 74 108 110 150 152 240 242
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: 242
Found by: Vitalii Koshura
db: batch=73, k=14, 28 28 10 34 40 88

SPT(16)	853556059028620217	0 6 12 20 56 62 110 116 156 162 210 216 252 260 266 272	-918304375872
SPT(16)	853556178927414019	0 12 28 40 88 102 150 162 280 292 340 354 402 414 430 442	-798405582070
STPT(10)	853556261787310979	0 2 18 20 30 32 42 44 60 62	-715545685110
STPT(12)	853556329575312521	0 2 30 32 90 92 96 98 156 158 186 188	-647757683568
SPT(16)	853556442343765871	0 6 12 78 126 140 188 198 200 210 258 272 320 386 392 398	-534989230218
SPT(16)	853556932401752233	0 40 48 58 64 76 78 100 144 166 168 180 186 196 204 244	-44931243856
SPT(16)	853557199495697093	0 14 56 60 68 90 104 108 176 180 194 216 224 228 270 284	222162701004
SPT(16)	853557386780090549	0 14 42 84 90 98 104 134 138 168 174 182 188 230 258 272	409447094460
STPT(10)	853557598753169411	0 2 6 8 48 50 90 92 96 98	621420173322
SPT(16)	853557857702322673	0 4 70 108 168 196 220 250 264 294 318 346 406 444 510 514	880369326584
SPT(16)	853557949452233117	0 56 60 72 152 170 176 204 242 270 276 294 374 386 390 446	972119237028