Prime p₀= 4387550656771807307 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 12 40 116 12 22 6 2 6 22 12 116 40 12 14 (?)
a_n: 0 14 26 66 182 194 216 222 224 230 252 264 380 420 432 446
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: 446
Found by: [SG]KidDoesCrunch
db: batch=85, k=16, 14 12 40 116 12 22 6 2

SPT(16)	4387548821540984221	0 12 28 42 48 136 148 162 166 180 192 280 286 300 316 328	-1835230823086
SPT(16)	4387549184142636073	0 34 46 70 78 168 190 204 310 324 346 436 444 468 480 514	-1472629171234
SPT(16)	4387549554637387339	0 48 64 78 84 112 130 148 174 192 210 238 244 258 274 322	-1102134419968
SPT(16)	4387549986920555311	0 96 106 112 150 162 180 216 226 262 280 292 330 336 346 442	-669851251996
STPT(10)	4387550380769946491	0 2 6 8 48 50 90 92 96 98	-276001860816
STPT(10)	4387550617265639729	0 2 12 14 90 92 168 170 180 182	-39506167578
SPT(16)	4387550765325338137	0 24 52 90 102 114 130 132 154 156 172 184 196 234 262 286	108553530830
TPT(14)	4387550971688445161	0 2 30 32 96 98 126 128 168 170 210 212 228 230	314916637854
TPT(14)	4387551166186511417	0 2 54 56 90 92 174 176 180 182 204 206 222 224	509414704110
SPT(16)	4387551546514450123	0 84 94 118 124 138 150 160 228 238 250 264 270 294 304 388	889742642816
SPT(18)	4387551722493389531	0 6 26 98 132 158 180 236 242 246 252 308 330 356 390 462 482 488	1065721582224