Prime p₀= 993363519167410967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 70 2 76 2 58 2 28 2 40 2 (?)
a_n: 0 2 90 92 162 164 240 242 300 302 330 332 372 374
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: 374
Found by: Theadalus
db: batch=76, k=14, 88 70 76 58 28 40

SPT(16)	993363032574762319	0 22 40 78 88 100 108 130 162 184 192 204 214 252 270 292	-486592648648
STPT(10)	993363039798145967	0 2 30 32 42 44 54 56 84 86	-479369265000
SPT(18)	993363154832247971	0 36 80 102 116 132 210 212 228 230 246 248 326 342 356 378 422 458	-364335162996
SPT(16)	993363199684952339	0 20 24 38 60 84 92 104 138 150 158 182 204 218 222 242	-319482458628
SPT(16)	993363242197564457	0 14 36 42 60 72 86 90 116 120 134 146 164 170 192 206	-276969846510
SPT(16)	993363325412852743	0 16 40 46 66 90 130 144 166 180 220 244 264 270 294 310	-193754558224
SPT(16)	993363661837144523	0 44 56 78 80 104 128 204 260 336 360 384 386 408 420 464	142669733556
SPT(16)	993363706116851093	0 36 50 78 90 96 98 128 216 246 248 254 266 294 308 344	186949440126
SPT(16)	993363756486609457	0 4 10 54 66 94 124 196 204 276 306 334 346 390 396 400	237319198490
STPT(12)	993363839176342589	0 2 18 20 42 44 48 50 72 74 90 92	320008931622
STPT(10)	993363890546899757	0 2 54 56 72 74 90 92 144 146	371379488790