Prime p₀= 2118632367823813739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 124 2 58 2 40 2 40 2 (?)
a_n: 0 2 60 62 72 74 198 200 258 260 300 302 342 344
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: 344
Found by: ChUcK
db: batch=80, k=14, 58 10 124 58 40 40

SPT(16)	2118630750071555627	0 20 26 32 36 110 120 146 180 206 216 290 294 300 306 326	-1617752258112
SPT(16)	2118631411267463399	0 14 20 32 60 68 138 150 182 194 264 272 300 312 318 332	-956556350340
SPT(16)	2118631461803428211	0 48 80 90 96 110 122 128 150 156 168 182 188 198 230 278	-906020385528
SPT(16)	2118632067602061751	0 10 42 70 78 102 132 150 190 208 238 262 270 298 330 340	-300221751988
SPT(16)	2118632291955450217	0 24 52 72 112 156 220 226 240 246 310 354 394 414 442 466	-75868363522
STPT(10)	2118632299691777447	0 2 30 32 42 44 54 56 84 86	-68132036292
SPT(16)	2118632506047619741	0 22 48 72 78 90 106 112 126 132 148 160 166 190 216 238	138223806002
STPT(10)	2118632761433456159	0 2 12 14 90 92 168 170 180 182	393609642420
STPT(10)	2118632819140522367	0 2 42 44 72 74 102 104 144 146	451316708628
SPT(16)	2118632825832109031	0 2 8 18 20 42 68 110 120 162 188 210 212 222 228 230	458008295292
SPT(16)	2118632876785898777	0 24 72 80 156 210 212 264 332 384 386 440 516 524 572 596	508962085038