Prime p₀= 2810224999724023547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 16 2 136 2 10 2 58 2 (?)
a_n: 0 2 42 44 54 56 72 74 210 212 222 224 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 40 10 16 136 10 58

SPT(18)	2810223174602694859	0 10 42 64 78 84 88 138 142 150 154 204 208 214 228 250 282 292	-1825121328688
TPT(14)	2810223568010843819	0 2 30 32 42 44 48 50 102 104 132 134 162 164	-1431713179728
SPT(16)	2810224316026678153	0 40 58 100 114 120 150 154 360 364 394 400 414 456 474 514	-683697345394
STPT(10)	2810224341682431677	0 2 90 92 132 134 174 176 264 266	-658041591870
SPT(16)	2810224771643423249	0 8 12 24 42 92 110 114 218 222 240 290 308 320 324 332	-228080600298
STPT(10)	2810224843402411619	0 2 30 32 60 62 90 92 120 122	-156321611928
STPT(10)	2810225401821041201	0 2 6 8 48 50 90 92 96 98	402097017654
SPT(16)	2810225641571144287	0 30 36 40 54 82 102 156 220 274 294 322 336 340 346 376	641847120740
TPT(14)	2810225667021187979	0 2 48 50 132 134 168 170 258 260 282 284 342 344	667297164432
TPT(16)	2810225726758881437	0 2 30 32 42 44 54 56 144 146 180 182 222 224 360 362	727034857890
SPT(16)	2810226133138317529	0 52 54 70 94 138 142 154 168 180 184 228 252 268 270 322	1133414293982