Prime p₀= 1122865500023662697 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 2 16 24 30 14 12 22 12 14 30 24 16 2 24 (?)
a_n: 0 24 26 42 66 96 110 122 144 156 170 200 224 240 242 266
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: 266
Found by: Theadalus
db: batch=76, k=16, 24 2 16 24 30 14 12 22

SPT(16)	1122864621014008447	0 12 66 94 102 150 172 196 210 234 256 304 312 340 394 406	-879009654250
STPT(10)	1122864624980215847	0 2 30 32 72 74 114 116 144 146	-875043446850
SPT(16)	1122864648802965317	0 6 14 30 44 54 90 96 104 110 146 156 170 186 194 200	-851220697380
STPT(10)	1122864940621580657	0 2 12 14 72 74 132 134 144 146	-559402082040
SPT(16)	1122864949708393079	0 12 114 122 128 168 180 192 200 212 224 264 270 278 380 392	-550315269618
STPT(12)	1122865070726039567	0 2 54 56 90 92 174 176 210 212 264 266	-429297623130
STPT(10)	1122865560897153257	0 2 30 32 60 62 90 92 120 122	60873490560
STPT(10)	1122865910946969179	0 2 48 50 90 92 132 134 180 182	410923306482
SPT(16)	1122866188540244177	0 30 56 80 120 150 152 162 200 210 212 242 282 306 332 362	688516581480
STPT(10)	1122866286869088401	0 2 6 8 48 50 90 92 96 98	786845425704
SPT(16)	1122866685123008627	0 42 54 60 74 86 90 126 230 266 270 282 296 302 314 356	1185099345930