Prime p₀= 2796288160336555217 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 238 2 58 2 10 2 28 2 46 2 28 2 (?)
a_n: 0 2 240 242 300 302 312 314 342 344 390 392 420 422
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: 422
Found by: JayPi
db: batch=82, k=14, 238 58 10 28 46 28

STPT(10)	2796286724190481517	0 2 30 32 72 74 114 116 144 146	-1436146073700
STPT(10)	2796286891750469441	0 2 36 38 78 80 120 122 156 158	-1268586085776
SPT(16)	2796287035541396863	0 48 64 76 90 100 168 198 256 286 354 364 378 390 406 454	-1124795158354
SPT(16)	2796287661725276863	0 4 28 40 46 78 84 106 138 160 166 198 204 216 240 244	-498611278354
STPT(10)	2796287826563979047	0 2 24 26 42 44 60 62 84 86	-333772576170
TPT(14)	2796288029115876569	0 2 42 44 108 110 240 242 282 284 360 362 372 374	-131220678648
SPT(16)	2796288199225334621	0 38 56 78 96 98 126 152 276 302 330 332 350 372 390 428	38888779404
TPT(14)	2796288541553630309	0 2 30 32 60 62 90 92 102 104 240 242 258 260	381217075092
SPT(16)	2796288861469951849	0 18 42 82 84 94 108 112 210 214 228 238 240 280 304 322	701133396632
SPT(16)	2796289333324912177	0 54 126 132 142 172 210 244 252 286 324 354 364 370 442 496	1172988356960
SPT(16)	2796289346248851853	0 46 64 66 70 108 138 144 190 196 226 264 268 270 288 334	1185912296636