Prime p₀= 2306564511059984269 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 2 10 8 16 32 18 16 18 32 16 8 10 2 22 (?)
a_n: 0 22 24 34 42 58 90 108 124 142 174 190 198 208 210 232
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: 232
Found by: FritzB
db: batch=81, k=16, 22 2 10 8 16 32 18 16

SPT(16)	2306563802898646003	0 4 48 124 144 166 220 238 276 294 348 370 390 466 510 514	-708161338266
STPT(10)	2306563922386170047	0 2 42 44 72 74 102 104 144 146	-588673814222
STPT(10)	2306563935723910661	0 2 108 110 138 140 168 170 276 278	-575336073608
SPT(16)	2306563995702880423	0 4 28 60 90 96 130 144 280 294 328 334 364 396 420 424	-515357103846
SPT(16)	2306564050661286259	0 34 42 54 90 112 120 138 154 172 180 202 238 250 258 292	-460398698010
STPT(10)	2306564151675109889	0 2 12 14 90 92 168 170 180 182	-359384874380
STPT(10)	2306565114091253957	0 2 30 32 42 44 54 56 84 86	603031269688
SPT(16)	2306565328540455643	0 34 48 58 94 96 156 160 174 178 238 240 276 286 300 334	817480471374
STPT(10)	2306565450189729611	0 2 36 38 78 80 120 122 156 158	939129745342
SPT(18)	2306565485096276947	0 6 30 46 60 76 112 126 132 154 160 174 210 226 240 256 280 286	974036292678
SPT(16)	2306565644728225493	0 8 20 54 68 104 186 228 296 338 420 456 470 504 516 524	1133668241224