Prime p₀= 2814256662448972229 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 46 2 82 2 34 2 10 2 40 2 (?)
a_n: 0 2 60 62 108 110 192 194 228 230 240 242 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 58 46 82 34 10 40

TPT(14)	2814252966924484781	0 2 48 50 90 92 258 260 276 278 288 290 306 308	-3695524487448
TPT(16)	2814253568748440381	0 2 78 80 276 278 288 290 390 392 426 428 498 500 528 530	-3093700531848
SPT(16)	2814254111262439169	0 32 42 102 108 158 174 192 200 218 234 284 290 350 360 392	-2551186533060
STPT(10)	2814254808579097967	0 2 30 32 72 74 114 116 144 146	-1853869874262
STPT(10)	2814255537159161237	0 2 72 74 102 104 132 134 204 206	-1125289810992
STPT(10)	2814255856274641277	0 2 30 32 72 74 114 116 144 146	-806174330952
STPT(10)	2814256794319588799	0 2 18 20 30 32 42 44 60 62	131870616570
SPT(16)	2814257167984917881	0 6 32 66 116 140 176 218 240 282 318 342 392 426 452 458	505535945652
STPT(10)	2814257186813768831	0 2 36 38 78 80 120 122 156 158	524364796602
SPT(16)	2814257445216666913	0 10 24 46 76 78 84 150 154 220 226 228 258 280 294 304	782767694684
STPT(10)	2814257594942565911	0 2 126 128 198 200 270 272 396 398	932493593682