Prime p₀= 2514169981357657541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 76 2 16 2 28 2 22 2 (?)
a_n: 0 2 48 50 120 122 198 200 216 218 246 248 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 46 70 76 16 28 22

SPT(16)	2514168837559563241	0 12 30 46 58 66 70 102 136 168 172 180 192 208 226 238	-1143798094300
STPT(10)	2514168990350339207	0 2 30 32 42 44 54 56 84 86	-991007318334
SPT(16)	2514169043272267151	0 30 38 50 56 108 116 128 150 162 170 222 228 240 248 278	-938085390390
STPT(10)	2514169323626472179	0 2 48 50 90 92 132 134 180 182	-657731185362
TPT(14)	2514169372579422287	0 2 30 32 90 92 144 146 174 176 240 242 270 272	-608778235254
STPT(10)	2514169756549792709	0 2 18 20 30 32 42 44 60 62	-224807864832
SPT(16)	2514170086950807067	0 4 16 40 54 70 82 100 126 144 156 172 186 210 222 226	105593149526
SPT(16)	2514170285609719721	0 8 56 78 96 98 102 182 246 326 330 332 350 372 420 428	304252062180
STPT(10)	2514170557614391691	0 2 36 38 78 80 120 122 156 158	576256734150
SPT(16)	2514170711645168297	0 42 54 72 80 96 144 204 242 302 350 366 374 392 404 446	730287510756
STPT(10)	2514170878505957777	0 2 30 32 42 44 54 56 84 86	897148300236