Prime p₀= 2370975400490616961 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 48 34 50 28 12 6 38 76 26 52 26 76 38 6 12 28 50 34 48 (?)
a_n: 0 48 82 132 160 172 178 216 292 318 370 396 472 510 516 528 556 606 640 688
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: 688
Found by: JonS
db: batch=81, k=20, 48 34 50 28 12 6 38 76 26 52

TPT(14)	2370974634775818647	0 2 90 92 132 134 162 164 210 212 270 272 312 314	-765714798314
SPT(16)	2370974638343385749	0 20 72 104 114 132 162 164 180 182 212 230 240 272 324 344	-762147231212
STPT(10)	2370974765980362299	0 2 18 20 30 32 42 44 60 62	-634510254662
STPT(10)	2370974770288860521	0 2 36 38 78 80 120 122 156 158	-630201756440
SPT(16)	2370974864380374841	0 10 18 36 42 52 72 102 106 136 156 166 172 190 198 208	-536110242120
STPT(10)	2370974920730214047	0 2 12 14 72 74 132 134 144 146	-479760402914
SPT(16)	2370975416142056993	0 38 48 146 176 216 224 234 320 330 338 378 408 506 516 554	15651440032
TPT(14)	2370975486698802131	0 2 30 32 78 80 108 110 126 128 150 152 156 158	86208185170
SPT(16)	2370975879748626671	0 6 36 48 68 78 80 92 96 108 110 120 140 152 182 188	479258009710
STPT(10)	2370976063709047547	0 2 30 32 42 44 54 56 84 86	663218430586
STPT(10)	2370977223154491167	0 2 60 62 72 74 84 86 144 146	1822663874206