Prime p₀= 2364886786967485621 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 28 32 58 14 18 22 38 22 18 14 58 32 28 18 (?)
a_n: 0 18 46 78 136 150 168 190 228 250 268 282 340 372 400 418
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: MarkRBright
db: batch=81, k=16, 18 28 32 58 14 18 22 38

TPT(14)	2364884526832276019	0 2 72 74 102 104 138 140 228 230 282 284 348 350	-2260135209602
SPT(16)	2364884815995918653	0 54 98 138 140 150 176 188 336 348 374 384 386 426 470 524	-1970971566968
TPT(14)	2364884859047481341	0 2 30 32 198 200 216 218 240 242 258 260 348 350	-1927920004280
STPT(10)	2364886380707840201	0 2 36 38 78 80 120 122 156 158	-406259645420
SPT(16)	2364886464472117879	0 24 52 94 100 108 142 154 198 210 244 252 258 300 328 352	-322495367742
STPT(10)	2364886732062572447	0 2 30 32 72 74 114 116 144 146	-54904913174
SPT(16)	2364887039911356799	0 34 70 72 100 124 180 202 222 244 300 324 352 354 390 424	252943871178
STPT(10)	2364887350906981721	0 2 6 8 18 20 30 32 36 38	563939496100
SPT(16)	2364887478338098391	0 30 62 98 110 146 150 152 186 188 192 228 240 276 308 338	691370612770
SPT(16)	2364887494666338709	0 40 58 88 100 148 162 174 238 250 264 312 324 354 372 412	707698853088
STPT(10)	2364887772632904809	0 2 12 14 90 92 168 170 180 182	985665419188