Prime p₀= 2869068348601508489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 22 2 16 2 10 2 64 2 (?)
a_n: 0 2 18 20 78 80 102 104 120 122 132 134 198 200
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: 200
Found by: [SG-FC] hl
db: batch=82, k=14, 16 58 22 16 10 64

SPT(16)	2869067144468982559	0 40 70 112 130 138 154 172 180 198 214 222 240 282 312 352	-1204132525930
TPT(14)	2869067435651052989	0 2 108 110 132 134 138 140 168 170 192 194 210 212	-912950455500
TPT(14)	2869067599418799017	0 2 54 56 72 74 114 116 180 182 192 194 204 206	-749182709472
STPT(10)	2869067774827643399	0 2 48 50 90 92 132 134 180 182	-573773865090
SPT(16)	2869068204277833979	0 12 82 84 94 100 124 142 150 168 192 198 208 210 280 292	-144323674510
SPT(16)	2869068319419248081	0 2 6 36 122 156 188 200 258 270 302 336 422 452 456 458	-29182260408
STPT(10)	2869068394198597049	0 2 18 20 30 32 42 44 60 62	45597088560
SPT(16)	2869068705718504607	0 54 104 110 132 134 162 174 182 194 222 224 246 252 302 356	357116996118
TPT(14)	2869068762514940351	0 2 36 38 60 62 78 80 90 92 168 170 210 212	413913431862
STPT(10)	2869069142235965489	0 2 18 20 30 32 42 44 60 62	793634457000
STPT(10)	2869069285869333101	0 2 36 38 78 80 120 122 156 158	937267824612