Prime p₀= 1211496586443253937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 178 2 22 2 28 2 94 2 (?)
a_n: 0 2 24 26 30 32 210 212 234 236 264 266 360 362
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: 362
Found by: Megacruncher
db: batch=77, k=14, 22 4 178 22 28 94

STPT(10)	1211494837520113841	0 2 30 32 60 62 90 92 120 122	-1748923140096
SPT(16)	1211495490466984739	0 24 32 42 80 90 132 162 170 200 242 252 290 300 308 332	-1095976269198
SPT(16)	1211495898889660217	0 26 42 72 80 264 282 296 360 374 392 576 584 614 630 656	-687553593720
STPT(10)	1211495921800838519	0 2 18 20 30 32 42 44 60 62	-664642415418
SPT(16)	1211496264912385567	0 10 36 64 70 90 96 120 166 190 196 216 222 250 276 286	-321530868370
STPT(10)	1211496410767207889	0 2 18 20 30 32 42 44 60 62	-175676046048
SPT(16)	1211496733732522999	0 12 42 82 84 124 142 144 178 180 198 238 240 280 310 322	147289269062
STPT(10)	1211497097660631149	0 2 18 20 30 32 42 44 60 62	511217377212
SPT(16)	1211497431282293321	0 18 38 62 80 96 108 158 210 260 272 288 306 330 350 368	844839039384
SPT(16)	1211497462261375123	0 58 94 108 160 196 204 220 294 310 318 354 406 420 456 514	875818121186
STPT(10)	1211498207858151527	0 2 12 14 42 44 72 74 84 86	1621414897590