Prime p₀= 4408798536619026071 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 6 4 12 26 22 2 124 2 22 26 12 4 6 20 (?)
a_n: 0 20 26 30 42 68 90 92 216 218 240 266 278 282 288 308
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: 308
Found by: [SG]KidDoesCrunch
db: batch=85, k=16, 20 6 4 12 26 22 2 124

STPT(10)	4408796591764450181	0 2 6 8 18 20 30 32 36 38	-1944854575890
SPT(16)	4408796606771303963	0 30 84 86 104 126 144 150 164 170 188 210 228 230 284 314	-1929847722108
SPT(16)	4408796936600339341	0 36 66 70 88 90 132 192 196 256 298 300 318 322 352 388	-1600018686730
TPT(14)	4408797416335163141	0 2 36 38 78 80 90 92 108 110 120 122 336 338	-1120283862930
SPT(18)	4408797436464555271	0 12 16 46 90 96 130 132 142 186 196 198 232 238 282 312 316 328	-1100154470800
STPT(10)	4408797535192206197	0 2 30 32 42 44 54 56 84 86	-1001426819874
SPT(16)	4408798575422706401	0 26 30 48 80 96 98 138 140 180 182 198 230 248 252 278	38803680330
STPT(10)	4408798729874306237	0 2 30 32 42 44 54 56 84 86	193255280166
SPT(16)	4408799155753274531	0 30 32 42 60 90 132 140 162 170 212 242 260 270 272 302	619134248460
TPT(14)	4408800087746779367	0 2 24 26 30 32 42 44 54 56 60 62 84 86	1551127753296
STPT(14)	4408800087746779367	0 2 24 26 30 32 42 44 54 56 60 62 84 86	1551127753296