Prime p₀= 2992119904038814657 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 38 16 50 34 30 6 20 6 30 34 50 16 38 16 (?)
a_n: 0 16 54 70 120 154 184 190 210 216 246 280 330 346 384 400
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: 400
Found by: Roadranner
db: batch=82, k=16, 16 38 16 50 34 30 6 20

SPT(16)	2992117742955104807	0 26 44 54 96 110 134 140 156 162 186 200 242 252 270 296	-2161083709850
SPT(16)	2992118148478719523	0 46 76 90 106 160 186 214 246 274 300 354 370 384 414 460	-1755560095134
TPT(14)	2992119285289369379	0 2 102 104 180 182 198 200 222 224 258 260 282 284	-618749445278
SPT(16)	2992119423287033621	0 26 72 96 102 126 138 152 186 200 212 236 242 266 312 338	-480751781036
STPT(10)	2992119484626561239	0 2 18 20 30 32 42 44 60 62	-419412253418
SPT(16)	2992119800233894633	0 34 66 70 90 196 210 238 276 304 318 424 444 448 480 514	-103804920024
STPT(10)	2992120187803265417	0 2 42 44 132 134 222 224 264 266	283764450760
SPT(16)	2992120520082662867	0 12 56 72 90 96 110 114 152 156 170 176 194 210 254 266	616043848210
SPT(16)	2992120669931327819	0 8 78 108 128 132 188 230 240 282 338 342 362 392 462 470	765892513162
STPT(10)	2992120732540653191	0 2 30 32 78 80 126 128 156 158	828501838534
STPT(10)	2992121168799283061	0 2 30 32 78 80 126 128 156 158	1264760468404