Prime p₀= 2746342057136871241 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 6 8 6 6 40 30 38 30 40 6 6 8 6 46 (?)
a_n: 0 46 52 60 66 72 112 142 180 210 250 256 262 270 276 322
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: 322
Found by: Rantanplan
db: batch=82, k=16, 46 6 8 6 6 40 30 38

SPT(16)	2746341232188456163	0 28 30 34 78 106 118 144 160 186 198 226 270 274 276 304	-824948415078
TPT(16)	2746341316228404821	0 2 78 80 90 92 168 170 216 218 258 260 276 278 318 320	-740908466420
STPT(10)	2746341378436160381	0 2 30 32 60 62 90 92 120 122	-678700710860
STPT(10)	2746341511399045421	0 2 36 38 78 80 120 122 156 158	-545737825820
SPT(16)	2746341617875761467	0 42 60 66 84 116 122 156 170 204 210 242 260 266 284 326	-439261109774
STPT(10)	2746341868729362749	0 2 18 20 30 32 42 44 60 62	-188407508492
SPT(16)	2746342607759118289	0 10 12 18 34 42 52 64 108 120 130 138 154 160 162 172	550622247048
SPT(16)	2746342759851510637	0 6 42 52 90 94 96 102 124 130 132 136 174 184 220 226	702714639396
SPT(16)	2746342847816870273	0 66 80 90 110 126 138 168 236 266 278 294 314 324 338 404	790679999032
SPT(16)	2746343236192897513	0 6 30 78 106 120 148 156 160 168 196 210 238 286 310 316	1179056026272
SPT(16)	2746343385219558919	0 12 42 60 64 120 130 142 270 282 292 348 352 370 400 412	1328082687678