Prime p₀= 2602222689436033799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 34 2 112 2 46 2 106 2 (?)
a_n: 0 2 42 44 132 134 168 170 282 284 330 332 438 440
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: 440
Found by: JayPi
db: batch=82, k=14, 40 88 34 112 46 106

SPT(16)	2602221182523254533	0 70 96 126 154 168 180 226 258 304 316 330 358 388 414 484	-1506912779266
SPT(16)	2602221200538581507	0 12 90 92 114 132 156 174 182 200 224 242 264 266 344 356	-1488897452292
SPT(16)	2602221501761805163	0 6 18 28 30 106 108 144 160 196 198 274 276 286 298 304	-1187674228636
STPT(10)	2602221662871790649	0 2 18 20 30 32 42 44 60 62	-1026564243150
STPT(10)	2602221860300228951	0 2 36 38 78 80 120 122 156 158	-829135804848
TPT(14)	2602222100037009179	0 2 78 80 90 92 162 164 300 302 312 314 378 380	-589399024620
SPT(16)	2602222744612598687	0 2 6 30 60 116 132 210 452 530 546 602 632 656 660 662	55176564888
SPT(16)	2602223107050745537	0 30 46 52 72 76 112 120 142 150 186 190 210 216 232 262	417614711738
SPT(16)	2602223289300231241	0 28 30 72 78 100 126 178 210 262 288 310 316 358 360 388	599864197442
STPT(10)	2602223364285554039	0 2 30 32 60 62 90 92 120 122	674849520240
SPT(16)	2602223622669681613	0 30 54 84 88 108 124 150 184 210 226 246 250 280 304 334	933233647814