Prime p₀= 853559634953560571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 22 2 28 2 28 2 94 2 10 2 (?)
a_n: 0 2 126 128 150 152 180 182 210 212 306 308 318 320
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: 320
Found by: RFGuy_KCCO
db: batch=73, k=14, 124 22 28 28 94 10

TPT(14)	853558591392994757	0 2 12 14 84 86 90 92 180 182 210 212 252 254	-1043560565814
SPT(16)	853558612337163113	0 38 44 68 84 96 110 156 188 234 248 260 276 300 306 344	-1022616397458
STPT(10)	853558805363263631	0 2 30 32 78 80 126 128 156 158	-829590296940
SPT(16)	853558992517673297	0 6 14 20 114 116 126 140 150 164 174 176 270 276 284 290	-642435887274
SPT(16)	853559166883903357	0 30 34 40 52 64 100 106 210 216 252 264 276 282 286 316	-468069657214
SPT(16)	853559360379351581	0 8 42 96 116 140 156 168 170 182 198 222 242 296 330 338	-274574208990
STPT(12)	853559761549874549	0 2 30 32 60 62 102 104 132 134 162 164	126596313978
STPT(10)	853559811223098149	0 2 42 44 60 62 78 80 120 122	176269537578
STPT(10)	853559838417430787	0 2 24 26 42 44 60 62 84 86	203463870216
STPT(10)	853559910076321499	0 2 18 20 60 62 102 104 120 122	275122760928
STPT(12)	853560016251116201	0 2 18 20 30 32 96 98 108 110 126 128	381297555630