Prime p₀= 1144617413321279873 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 26 76 30 20 30 4 44 4 30 20 30 76 26 24 (?)
a_n: 0 24 50 126 156 176 206 210 254 258 288 308 338 414 440 464
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: 464
Found by: Alnitak2019
db: batch=76, k=16, 24 26 76 30 20 30 4 44

SPT(16)	1144615556685422651	0 42 48 56 96 140 146 156 212 222 228 272 312 320 326 368	-1856635857222
SPT(16)	1144616057138039539	0 22 30 48 58 100 102 114 118 130 132 174 184 202 210 232	-1356183240334
STPT(10)	1144616061024954767	0 2 30 32 42 44 54 56 84 86	-1352296325106
STPT(10)	1144616187047024297	0 2 12 14 72 74 132 134 144 146	-1226274255576
TPT(14)	1144616648933600681	0 2 18 20 66 68 126 128 156 158 168 170 180 182	-764387679192
SPT(16)	1144616836321969859	0 32 50 60 72 90 92 98 162 168 170 188 200 210 228 260	-576999310014
STPT(10)	1144617750374222879	0 2 18 20 30 32 42 44 60 62	337052943006
STPT(10)	1144617835984400507	0 2 30 32 72 74 114 116 144 146	422663120634
SPT(16)	1144618284538737269	0 8 18 20 24 42 50 84 98 132 140 158 162 164 174 182	871217457396
SPT(16)	1144618597286909813	0 6 48 78 90 120 146 150 164 168 194 224 236 266 308 314	1183965629940
STPT(10)	1144618711485869297	0 2 30 32 42 44 54 56 84 86	1298164589424