Prime p₀= 2296323218832783059 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 58 2 22 2 4 2 40 2 (?)
a_n: 0 2 12 14 78 80 138 140 162 164 168 170 210 212
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: 212
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 10 64 58 22 4 40

STPT(10)	2296321687392213707	0 2 30 32 72 74 114 116 144 146	-1531440569352
SPT(16)	2296321747552501847	0 2 24 36 50 114 120 132 164 176 182 246 260 272 294 296	-1471280281212
SPT(16)	2296321939229953373	0 36 90 104 126 200 216 230 294 308 324 398 420 434 488 524	-1279602829686
TPT(14)	2296322337848801321	0 2 66 68 78 80 96 98 120 122 138 140 168 170	-880983981738
STPT(10)	2296322389657660421	0 2 36 38 78 80 120 122 156 158	-829175122638
SPT(16)	2296323122850769003	0 4 18 46 54 76 94 144 160 210 228 250 258 286 300 304	-95982014056
TPT(14)	2296323448495633847	0 2 54 56 132 134 174 176 222 224 234 236 330 332	229662850788
SPT(16)	2296323687166983809	0 2 14 60 114 132 144 222 230 308 320 338 392 438 450 452	468334200750
STPT(10)	2296324526744511449	0 2 18 20 30 32 42 44 60 62	1307911728390
SPT(16)	2296324567905556603	0 24 106 120 130 136 148 156 268 276 288 294 304 318 400 424	1349072773544
SPT(16)	2296324869316604389	0 42 58 60 102 130 154 190 222 258 282 310 352 354 370 412	1650483821330