Prime p₀= 2729500934597087689 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 54 36 24 10 30 20 10 50 10 20 30 10 24 36 54 (?)
a_n: 0 54 90 114 124 154 174 184 234 244 264 294 304 328 364 418
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: 418
Found by: JayPi
db: batch=82, k=16, 54 36 24 10 30 20 10 50

SPT(16)	2729499532270612951	0 10 40 48 72 78 100 148 210 258 280 286 310 318 348 358	-1402326474738
SPT(16)	2729499748213789037	0 14 32 42 50 62 90 102 134 146 174 186 194 204 222 236	-1186383298652
STPT(10)	2729500193198248541	0 2 36 38 78 80 120 122 156 158	-741398839148
TPT(14)	2729500210213318427	0 2 12 14 42 44 72 74 90 92 114 116 132 134	-724383769262
SPT(16)	2729500382185944421	0 18 40 42 52 108 138 162 196 220 250 306 316 318 340 358	-552411143268
SPT(16)	2729500505126085133	0 6 34 36 78 100 114 130 144 160 174 196 238 240 268 274	-429471002556
STPT(10)	2729501132990389799	0 2 18 20 30 32 42 44 60 62	198393302110
STPT(10)	2729501146804771289	0 2 18 20 30 32 42 44 60 62	212207683600
SPT(16)	2729501720197449793	0 16 18 24 126 144 156 166 168 178 190 208 310 316 318 334	785600362104
SPT(16)	2729501817991916687	0 2 14 20 42 44 62 110 144 192 210 212 234 240 252 254	883394828998
TPT(14)	2729501879934288461	0 2 30 32 36 38 60 62 78 80 120 122 228 230	945337200772