Prime p₀= 2323039834922997647 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 22 2 94 2 100 2 16 2 (?)
a_n: 0 2 42 44 90 92 114 116 210 212 312 314 330 332
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: 332
Found by: WTBroughton
db: batch=81, k=14, 40 46 22 94 100 16

SPT(16)	2323039111465802003	0 8 30 74 86 96 156 200 204 248 308 318 330 374 396 404	-723457195644
STPT(10)	2323039274632326947	0 2 54 56 72 74 90 92 144 146	-560290670700
SPT(16)	2323039370083362169	0 10 42 64 72 108 130 144 148 162 184 220 228 250 282 292	-464839635478
SPT(16)	2323039446369769157	0 30 72 116 120 186 192 200 252 260 266 332 336 380 422 452	-388553228490
SPT(16)	2323039752302754013	0 18 34 60 70 78 90 96 148 154 166 174 184 210 226 244	-82620243634
SPT(16)	2323039769006108153	0 14 18 30 44 74 114 126 128 140 180 210 224 236 240 254	-65916889494
SPT(16)	2323040166123126623	0 26 38 50 68 90 104 140 174 210 224 246 264 276 288 314	331200128976
STPT(10)	2323040410659134861	0 2 30 32 78 80 126 128 156 158	575736137214
SPT(16)	2323040806579597147	0 60 102 114 124 130 142 150 226 234 246 252 262 274 316 376	971656599500
STPT(10)	2323040958030616469	0 2 48 50 60 62 72 74 120 122	1123107618822
STPT(10)	2323041633245958089	0 2 12 14 90 92 168 170 180 182	1798322960442