Prime p₀= 203421299109905897 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 44 72 58 8 4 24 20 24 18 22 18 24 20 24 4 8 58 72 44 (?)
a_n: 0 44 116 174 182 186 210 230 254 272 294 312 336 356 380 384 392 450 522 566
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: 566
Found by: Ralfy
db: batch=69, k=20, 44 72 58 8 4 24 20 24 18 22

SPT(16)	203421270533778569	0 12 20 24 62 74 104 122 210 228 258 270 308 312 320 332	-28576127328
SPT(14)	203421272625585451	0 12 16 66 100 120 126 136 142 162 196 246 250 262	-26484320446
SPT(14)	203421278524410491	0 2 18 20 32 62 90 110 138 168 180 182 198 200	-20585495406
SPT(14)	203421291187366711	0 70 132 162 166 238 258 370 390 462 466 496 558 628	-7922539186
SPT(14)	203421293262594257	0 14 54 90 92 96 110 126 140 144 146 182 222 236	-5847311640
SPT(16)	203421294537888811	0 10 40 72 108 112 118 138 172 192 198 202 238 270 300 310	-4572017086
SPT(14)	203421299441533969	0 54 60 130 154 220 222 262 264 330 354 424 430 484	331628072
SPT(14)	203421306932799733	0 18 66 70 94 96 148 186 238 240 264 268 316 334	7822893836
SPT(14)	203421307547249081	0 2 30 68 80 92 110 138 156 168 180 218 246 248	8437343184
SPT(14)	203421309904470131	0 42 102 108 116 140 146 162 168 192 200 206 266 308	10794564234
SPT(14)	203421317805775939	0 48 58 70 72 88 90 130 132 148 150 162 172 220	18695870042