Prime p₀= 735317237557642679 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 18 20 4 18 38 24 12 16 74 4 74 16 12 24 38 18 4 20 18 (?)
a_n: 0 18 38 42 60 98 122 134 150 224 228 302 318 330 354 392 410 414 434 452
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 452
Found by: Theadalus
db: batch=73, k=20, 18 20 4 18 38 24 12 16 74 4

SPT(16)	735316307072496263	0 14 30 50 56 78 98 126 158 186 206 228 234 254 270 284	-930485146416
SPT(16)	735316318721192707	0 42 46 64 70 72 114 120 136 142 184 186 192 210 214 256	-918836449972
SPT(16)	735316621522117339	0 22 34 48 60 64 78 82 90 94 108 112 124 138 150 172	-616035525340
SPT(16)	735316623274585711	0 42 46 52 66 76 106 112 126 132 162 172 186 192 196 238	-614283056968
STPT(12)	735316714107706607	0 2 42 44 84 86 120 122 162 164 204 206	-523449936072
SPT(16)	735316925823680303	0 98 110 120 174 200 204 210 284 290 294 320 374 384 396 494	-311733962376
STPT(10)	735317496012883037	0 2 72 74 102 104 132 134 204 206	258455240358
STPT(10)	735317516539470479	0 2 18 20 30 32 42 44 60 62	278981827800
STPT(10)	735317785729809179	0 2 42 44 60 62 78 80 120 122	548172166500
STPT(10)	735317847851364467	0 2 30 32 42 44 54 56 84 86	610293721788
STPT(10)	735318014846444969	0 2 18 20 30 32 42 44 60 62	777288802290