Prime p₀= 3436667975677128757 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 36 34 62 4 18 26 12 12 10 38 10 12 12 26 18 4 62 34 36 (?)
a_n: 0 36 70 132 136 154 180 192 204 214 252 262 274 286 312 330 334 396 430 466
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: 466
Found by: Josemi
db: batch=83, k=20, 36 34 62 4 18 26 12 12 10 38

STPT(10)	3436666923835118759	0 2 42 44 60 62 78 80 120 122	-1051842009998
SPT(16)	3436666957985316947	0 12 26 42 72 114 146 170 216 240 272 314 344 360 374 386	-1017691811810
TPT(14)	3436667220542094281	0 2 66 68 78 80 108 110 138 140 150 152 420 422	-755135034476
STPT(10)	3436667220542094347	0 2 12 14 42 44 72 74 84 86	-755135034410
TPT(14)	3436667222686824491	0 2 30 32 78 80 96 98 126 128 156 158 180 182	-752990304266
SPT(16)	3436667404209493991	0 12 56 78 96 98 120 228 260 368 390 392 410 432 476 488	-571467634766
SPT(16)	3436668175326187199	0 30 38 132 158 164 192 198 224 230 258 264 290 384 392 422	199649058442
STPT(10)	3436668212832562061	0 2 6 8 48 50 90 92 96 98	237155433304
STPT(10)	3436668233841913307	0 2 30 32 42 44 54 56 84 86	258164784550
TPT(14)	3436668298930505447	0 2 12 14 30 32 72 74 174 176 180 182 210 212	323253376690
SPT(16)	3436668311101364947	0 4 12 34 66 70 72 100 126 154 156 160 192 214 222 226	335424236190