Prime p₀= 24856277771414263 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 12 70 132 44 34 8 34 44 132 70 12 6 (?)
a_n: 0 6 18 88 220 264 298 306 340 384 516 586 598 604
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: 604
Found by: UBT - Timbo
db: batch=65, k=14, 6 12 70 132 44 34 8

SPT(14)	24856215137405777	0 6 14 32 42 56 60 86 90 104 114 132 140 146	-62634008486
SPT(16)	24856225200779047	0 10 36 160 166 210 214 256 294 336 340 384 390 514 540 550	-52570635216
SPT(14)	24856236564996961	0 28 40 60 82 88 108 190 210 216 238 258 270 298	-41206417302
SPT(14)	24856242210306523	0 16 18 58 60 70 118 228 276 286 288 328 330 346	-35561107740
SPT(14)	24856246431917591	0 20 42 48 60 62 66 92 96 98 110 116 138 158	-31339496672
STPT(10)	24856270809554201	0 2 78 80 108 110 138 140 216 218	-6961860062
SPT(14)	24856279659729127	0 4 12 16 24 46 54 112 120 142 150 154 162 166	1888314864
SPT(14)	24856280386223641	0 10 12 28 36 40 60 88 108 112 120 136 138 148	2614809378
SPT(14)	24856282545951301	0 40 46 76 78 162 168 250 256 340 342 372 378 418	4774537038
SPT(14)	24856283320054843	0 10 18 28 54 88 150 154 216 250 276 286 294 304	5548640580
SPT(14)	24856290610438043	0 44 120 150 158 180 198 206 224 246 254 284 360 404	12839023780