Prime p₀= 853649996021109149 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 52 2 94 2 70 2 28 2 (?)
a_n: 0 2 18 20 78 80 132 134 228 230 300 302 330 332
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: 332
Found by: Vitalii Koshura
db: batch=73, k=14, 16 58 52 94 70 28

SPT(16)	853648800338227921	0 10 42 46 60 82 130 156 166 192 240 262 276 280 312 322	-1195682881228
SPT(16)	853648853705683283	0 44 50 56 66 84 128 146 198 216 260 278 288 294 300 344	-1142315425866
STPT(10)	853648906180040429	0 2 18 20 30 32 42 44 60 62	-1089841068720
STPT(10)	853649849338364579	0 2 48 50 90 92 132 134 180 182	-146682744570
SPT(16)	853649962539420041	0 8 86 92 128 186 228 300 338 410 452 510 546 552 630 638	-33481689108
SPT(16)	853649962597984109	0 38 50 60 84 108 140 150 242 252 284 308 332 342 354 392	-33423125040
SPT(16)	853650097674628621	0 52 78 82 126 156 168 178 180 190 202 232 276 280 306 358	101653519472
SPT(16)	853650171615274193	0 20 26 68 86 90 96 108 146 158 164 168 186 228 234 254	175594165044
STPT(10)	853650236958002987	0 2 24 26 42 44 60 62 84 86	240936893838
TPT(14)	853650269467136591	0 2 6 8 30 32 48 50 90 92 156 158 258 260	273446027442
STPT(10)	853650366126828197	0 2 54 56 72 74 90 92 144 146	370105719048