Prime p₀= 724965776976206789 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 24 16 14 48 18 4 44 4 18 48 14 16 24 20 (?)
a_n: 0 20 44 60 74 122 140 144 188 192 210 258 272 288 312 332
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: 332
Found by: stasieks
db: batch=73, k=16, 20 24 16 14 48 18 4 44

SPT(16)	724965409683397873	0 28 64 70 106 118 124 180 184 240 246 258 294 300 336 364	-367292808916
SPT(16)	724965625031397391	0 6 10 42 48 76 118 136 162 180 222 250 256 288 292 298	-151944809398
SPT(16)	724965632900512753	0 24 36 60 114 126 136 156 178 198 208 220 274 298 310 334	-144075694036
STPT(10)	724965649225320617	0 2 30 32 102 104 174 176 204 206	-127750886172
STPT(10)	724965679240446701	0 2 30 32 78 80 126 128 156 158	-97735760088
STPT(10)	724965750571162277	0 2 60 62 72 74 84 86 144 146	-26405044512
STPT(10)	724965882007320101	0 2 36 38 78 80 120 122 156 158	105031113312
STPT(10)	724965947082804521	0 2 6 8 48 50 90 92 96 98	170106597732
SPT(16)	724966026700242251	0 8 38 42 72 80 108 150 170 212 240 248 278 282 312 320	249724035462
TPT(14)	724966519650151841	0 2 18 20 138 140 228 230 306 308 336 338 360 362	742673945052
STPT(10)	724966867363668581	0 2 36 38 78 80 120 122 156 158	1090387461792