Prime p₀= 151383916353013529 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 60 20 16 14 6 4 6 14 16 20 60 12 (?)
a_n: 0 12 72 92 108 122 128 132 138 152 168 188 248 260
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: 260
Found by: emoga
db: batch=67, k=14, 12 60 20 16 14 6 4

SPT(14)	151383870854078449	0 42 90 112 124 132 142 192 202 210 222 244 292 334	-45498935080
TPT(12)	151383872493383939	0 2 78 80 90 92 120 122 162 164 192 194	-43859629590
SPT(16)	151383887591958701	0 8 18 86 102 108 116 120 158 162 170 176 192 260 270 278	-28761054828
SPT(16)	151383897633073051	0 6 18 22 42 48 66 88 90 112 130 136 156 160 172 178	-18719940478
SPT(14)	151383906646078927	0 30 60 66 72 106 126 130 150 184 190 196 226 256	-9706934602
SPT(14)	151383911661803893	0 48 70 100 186 204 244 270 310 328 414 444 466 514	-4691209636
SPT(14)	151383936244906627	0 10 52 100 114 190 202 282 294 370 384 432 474 484	19891893098
SPT(14)	151383937138906273	0 28 46 48 90 96 106 138 148 154 196 198 216 244	20785892744
SPT(14)	151383943122732071	0 8 38 56 66 120 140 258 278 332 342 360 390 398	26769718542
SPT(16)	151383948232061003	0 54 110 116 120 128 210 240 284 314 396 404 408 414 470 524	31879047474
SPT(14)	151383981512449051	0 16 46 60 66 70 120 142 192 196 202 216 246 262	65159435522