Prime p₀= 151383911661803893 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 48 22 30 86 18 40 26 40 18 86 30 22 48 (?)
a_n: 0 48 70 100 186 204 244 270 310 328 414 444 466 514
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: emoga
db: batch=67, k=14, 48 22 30 86 18 40 26

SPT(14)	151383863360576527	0 16 30 42 64 102 126 130 154 192 214 226 240 256	-48301227366
SPT(14)	151383870854078449	0 42 90 112 124 132 142 192 202 210 222 244 292 334	-40807725444
TPT(12)	151383872493383939	0 2 78 80 90 92 120 122 162 164 192 194	-39168419954
SPT(16)	151383887591958701	0 8 18 86 102 108 116 120 158 162 170 176 192 260 270 278	-24069845192
SPT(16)	151383897633073051	0 6 18 22 42 48 66 88 90 112 130 136 156 160 172 178	-14028730842
SPT(14)	151383906646078927	0 30 60 66 72 106 126 130 150 184 190 196 226 256	-5015724966
SPT(14)	151383916353013529	0 12 72 92 108 122 128 132 138 152 168 188 248 260	4691209636
SPT(14)	151383936244906627	0 10 52 100 114 190 202 282 294 370 384 432 474 484	24583102734
SPT(14)	151383937138906273	0 28 46 48 90 96 106 138 148 154 196 198 216 244	25477102380
SPT(14)	151383943122732071	0 8 38 56 66 120 140 258 278 332 342 360 390 398	31460928178
SPT(16)	151383948232061003	0 54 110 116 120 128 210 240 284 314 396 404 408 414 470 524	36570257110