Prime p₀= 2786213323223343521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 88 2 40 2 4 2 10 2 28 2 (?)
a_n: 0 2 48 50 138 140 180 182 186 188 198 200 228 230
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: 230
Found by: [SG-FC] hl
db: batch=82, k=14, 46 88 40 4 10 28

SPT(16)	2786211987692232233	0 24 30 56 78 114 134 194 210 270 290 326 348 374 380 404	-1335531111288
STPT(10)	2786212151107003649	0 2 30 32 60 62 90 92 120 122	-1172116339872
SPT(16)	2786212449389417747	0 54 74 110 122 132 140 152 222 234 242 252 264 300 320 374	-873833925774
STPT(10)	2786212477049936657	0 2 30 32 162 164 294 296 324 326	-846173406864
STPT(10)	2786213126432767637	0 2 60 62 72 74 84 86 144 146	-196790575884
STPT(10)	2786213150019319607	0 2 30 32 72 74 114 116 144 146	-173204023914
SPT(16)	2786213467237604519	0 8 30 44 62 122 128 140 162 174 180 240 258 272 294 302	144014260998
SPT(16)	2786213789652918761	0 6 8 48 50 78 92 96 122 126 140 168 170 210 212 218	466429575240
SPT(16)	2786213851087298711	0 8 32 50 66 146 156 188 270 302 312 392 408 426 450 458	527863955190
STPT(10)	2786214002741170667	0 2 30 32 42 44 54 56 84 86	679517827146
SPT(16)	2786214016688182039	0 18 22 70 78 100 112 120 172 180 192 214 222 270 274 292	693464838518