Prime p₀= 2853822745227136829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 4 2 58 2 10 2 16 2 22 2 (?)
a_n: 0 2 102 104 108 110 168 170 180 182 198 200 222 224
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: 224
Found by: [SG-FC] hl
db: batch=82, k=14, 100 4 58 10 16 22

SPT(16)	2853821740790538857	0 44 62 104 120 140 162 164 180 182 204 224 240 282 300 344	-1004436597972
STPT(10)	2853821746951630757	0 2 30 32 120 122 210 212 240 242	-998275506072
SPT(16)	2853822265254609029	0 24 30 42 62 128 170 174 188 192 234 300 320 332 338 362	-479972527800
STPT(10)	2853822542764565717	0 2 42 44 72 74 102 104 144 146	-202462571112
STPT(10)	2853822550442865011	0 2 90 92 108 110 126 128 216 218	-194784271818
SPT(16)	2853822669087849671	0 2 36 56 60 90 102 120 128 146 158 188 192 212 246 248	-76139287158
STPT(10)	2853822825869850449	0 2 18 20 30 32 42 44 60 62	80642713620
SPT(16)	2853823074489434737	0 4 30 54 60 82 100 106 120 126 144 166 172 196 222 226	329262297908
SPT(16)	2853823201425797047	0 6 10 24 54 76 84 96 154 166 174 196 226 240 244 250	456198660218
STPT(10)	2853823226949520907	0 2 42 44 72 74 102 104 144 146	481722384078
SPT(16)	2853823334109541373	0 6 24 26 54 56 128 164 240 276 348 350 378 380 398 404	588882404544