Prime p₀= 3242918659896463 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 88 32 70 6 38 4 38 4 38 6 70 32 88 (?)
a_n: 0 88 120 190 196 234 238 276 280 318 324 394 426 514
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: 514
Found by: Dario666
db: batch=61, k=14, 88 32 70 6 38 4 38

SPT(16)	3242904411097213	0 30 46 48 64 120 126 130 174 178 184 240 256 258 274 304	-14248799250
SPT(16)	3242905065874217	0 2 44 126 146 170 182 186 200 204 216 240 260 342 384 386	-13594022246
SPT(14)	3242910162834161	0 2 8 30 32 68 78 260 270 306 308 330 336 338	-8497062302
SPT(14)	3242915125042157	0 6 36 42 50 56 66 80 90 96 104 110 140 146	-3534854306
SPT(14)	3242915517590341	0 28 42 46 66 76 88 90 102 112 132 136 150 178	-3142306122
SPT(14)	3242916223650911	0 2 20 56 62 140 150 152 162 240 246 282 300 302	-2436245552
SPT(14)	3242926580753933	0 66 84 86 104 126 216 254 344 366 384 386 404 470	7920857470
SPT(14)	3242929542232397	0 6 36 120 140 174 260 330 416 450 470 554 584 590	10882335934
SPT(14)	3242938558421129	0 8 12 138 182 200 252 278 330 348 392 518 522 530	19898524666
TPT(14)	3242939778417299	0 2 30 32 42 44 48 50 120 122 240 242 270 272	21118520836
SPT(14)	3242948472162059	0 8 20 44 62 78 104 108 134 150 168 192 204 212	29812265596