Prime p₀= 2157874271237283623 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 34 20 70 2 6 22 8 22 6 2 70 20 34 14 (?)
a_n: 0 14 48 68 138 140 146 168 176 198 204 206 276 296 330 344
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 344
Found by: Landjunge
db: batch=81, k=16, 14 34 20 70 2 6 22 8

SPT(16)	2157872611733497277	0 14 20 56 72 80 84 86 150 152 156 164 180 216 222 236	-1659503786346
SPT(16)	2157873028550299063	0 16 40 64 66 78 106 150 154 198 226 238 240 264 288 304	-1242686984560
STPT(10)	2157873029511968147	0 2 30 32 42 44 54 56 84 86	-1241725315476
TPT(14)	2157873080340977849	0 2 48 50 78 80 90 92 132 134 150 152 192 194	-1190896305774
STPT(10)	2157873089668254977	0 2 42 44 72 74 102 104 144 146	-1181569028646
SPT(16)	2157873225161832449	0 14 38 42 60 98 102 104 138 140 144 182 200 204 228 242	-1046075451174
TPT(14)	2157874475697016031	0 2 18 20 60 62 90 92 96 98 138 140 156 158	204459732408
TPT(14)	2157875034324636701	0 2 6 8 48 50 60 62 138 140 216 218 240 242	763087353078
TPT(14)	2157875323312724357	0 2 84 86 114 116 144 146 192 194 312 314 570 572	1052075440734
SPT(16)	2157875414073160349	0 14 44 60 72 98 102 120 122 140 144 170 182 198 228 242	1142835876726
SPT(16)	2157875963566270609	0 4 12 154 162 238 252 270 292 310 324 400 408 550 558 562	1692328986986