Prime p₀= 248720282639744731 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 28 50 12 28 120 14 64 14 120 28 12 50 28 (?)
a_n: 0 28 78 90 118 238 252 316 330 450 478 490 540 568
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: 568
Found by: Ralfy
db: batch=69, k=14, 28 50 12 28 120 14 64

SPT(14)	248720216031056057	0 32 84 92 150 186 192 194 200 236 294 302 354 386	-66608688674
SPT(14)	248720225539519147	0 10 24 46 64 66 82 84 100 102 120 142 156 166	-57100225584
SPT(14)	248720243064083881	0 12 52 70 88 156 220 258 322 390 408 426 466 478	-39575660850
SPT(14)	248720249506415041	0 36 76 82 88 90 138 160 208 210 216 222 262 298	-33133329690
SPT(14)	248720260152225847	0 24 60 94 124 126 130 150 154 156 186 220 256 280	-22487518884
TPT(12)	248720272377497117	0 2 84 86 114 116 162 164 192 194 294 296	-10262247614
SPT(14)	248720293349333329	0 12 28 60 82 124 138 184 198 240 262 294 310 322	10709588598
SPT(14)	248720301543407801	0 18 20 56 78 92 108 200 216 230 252 288 290 308	18903663070
SPT(16)	248720348943393839	0 12 30 80 102 162 168 180 182 194 200 260 282 332 350 362	66303649108
SPT(16)	248720358262456039	0 10 18 22 42 60 70 78 112 120 130 148 168 172 180 190	75622711308
TPT(12)	248720370347657147	0 2 30 32 60 62 90 92 162 164 252 254	87707912416