Prime p₀= 2259387204869583161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 106 2 40 2 58 2 10 2 16 2 (?)
a_n: 0 2 18 20 126 128 168 170 228 230 240 242 258 260
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: 260
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 16 106 40 58 10 16

SPT(16)	2259386324075242927	0 10 24 76 154 210 220 222 244 246 256 312 390 442 456 466	-880794340234
SPT(16)	2259386535832021433	0 6 84 126 194 204 230 260 264 294 320 330 398 440 518 524	-669037561728
SPT(16)	2259386596756598251	0 10 48 66 76 138 252 258 280 286 400 462 472 490 528 538	-608112984910
SPT(16)	2259386674946633203	0 6 10 48 66 88 126 166 180 220 258 280 298 336 340 346	-529922949958
STPT(10)	2259386844357715769	0 2 48 50 90 92 132 134 180 182	-360511867392
SPT(16)	2259387168101786609	0 24 74 84 90 122 132 144 188 200 210 242 248 258 308 332	-36767796552
SPT(16)	2259387892759180201	0 46 82 96 106 130 156 160 252 256 282 306 316 330 366 412	687889597040
TPT(14)	2259388544526847169	0 2 18 20 78 80 102 104 120 122 282 284 330 332	1339657264008
STPT(10)	2259388733934922157	0 2 12 14 42 44 72 74 84 86	1529065338996
STPT(10)	2259388786223001281	0 2 36 38 78 80 120 122 156 158	1581353418120
SPT(16)	2259388859822679679	0 24 52 54 64 94 100 112 150 162 168 198 208 210 238 262	1654953096518