Prime p₀= 2693998821712264007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 28 2 148 2 82 2 4 2 (?)
a_n: 0 2 12 14 30 32 60 62 210 212 294 296 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 10 16 28 148 82 4

SPT(16)	2693997917808287009	0 80 110 128 188 192 222 230 300 308 338 342 402 420 450 530	-903903976998
STPT(10)	2693998090840127501	0 2 66 68 108 110 150 152 216 218	-730872136506
STPT(10)	2693998343308342121	0 2 6 8 18 20 30 32 36 38	-478403921886
STPT(10)	2693998543310338049	0 2 30 32 60 62 90 92 120 122	-278401925958
STPT(10)	2693998653777810647	0 2 30 32 72 74 114 116 144 146	-167934453360
SPT(16)	2693998739160515273	0 14 54 60 146 158 194 236 258 300 336 348 434 440 480 494	-82551748734
STPT(10)	2693999756465504759	0 2 18 20 30 32 42 44 60 62	934753240752
SPT(16)	2694000256919620489	0 78 102 142 144 162 168 172 180 184 190 208 210 250 274 352	1435207356482
STPT(10)	2694000604440193427	0 2 30 32 42 44 54 56 84 86	1782727929420
SPT(16)	2694001019984825281	0 40 52 70 76 82 108 132 196 220 246 252 258 276 288 328	2198272561274
STPT(10)	2694001834960107311	0 2 6 8 48 50 90 92 96 98	3013247843304