Prime p₀= 2694018480008186909 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 208 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 240 242 270 272 282 284 312 314 342 344
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: 344
Found by: biodoc
db: batch=82, k=14, 28 208 28 10 28 28

SPT(16)	2694017615718960227	0 2 32 42 114 116 126 144 152 170 180 182 254 264 294 296	-864289226682
STPT(10)	2694017823114177611	0 2 6 8 18 20 30 32 36 38	-656894009298
SPT(16)	2694018029587548269	0 8 42 60 134 138 140 222 260 342 344 348 422 440 474 482	-450420638640
SPT(16)	2694018189220228447	0 84 96 142 166 184 196 246 280 330 342 360 384 430 442 526	-290787958462
STPT(10)	2694018200884861559	0 2 42 44 60 62 78 80 120 122	-279123325350
TPT(14)	2694018447226098689	0 2 48 50 138 140 210 212 222 224 312 314 420 422	-32782088220
TPT(14)	2694018651795744701	0 2 96 98 108 110 126 128 150 152 156 158 198 200	171787557792
SPT(16)	2694019042925067733	0 16 96 120 126 130 148 198 238 288 306 310 316 340 420 436	562916880824
SPT(16)	2694019064607858979	0 10 52 54 82 94 112 120 124 132 150 162 190 192 234 244	584599672070
SPT(16)	2694019456820229913	0 4 36 144 168 190 250 258 286 294 354 376 400 508 540 544	976812043004
SPT(16)	2694020228706266641	0 10 18 42 76 90 100 108 220 228 238 252 286 310 318 328	1748698079732