Prime p₀= 2136116679439753919 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2136115259634539999	0 44 50 102 158 188 230 324 398 492 534 564 620 672 678 722	-1419805213920
STPT(10)	2136115397041375637	0 2 30 32 42 44 54 56 84 86	-1282398378282
SPT(16)	2136115425197009273	0 8 20 30 56 80 98 120 134 156 174 198 224 234 246 254	-1254242744646
STPT(10)	2136115594748805581	0 2 6 8 18 20 30 32 36 38	-1084690948338
SPT(16)	2136115651377516647	0 26 66 114 170 174 210 222 284 296 332 336 392 440 480 506	-1028062237272
STPT(10)	2136116481149102951	0 2 36 38 78 80 120 122 156 158	-198290650968
SPT(16)	2136116870070110009	0 8 18 38 78 102 140 144 158 162 200 224 264 284 294 302	190630356090
STPT(10)	2136116916401307179	0 2 18 20 30 32 42 44 60 62	236961553260
SPT(16)	2136116940357341159	0 30 38 44 60 72 74 80 102 108 110 122 138 144 152 182	260917587240
SPT(16)	2136117901977082411	0 10 66 108 126 148 166 168 178 180 198 220 238 280 336 346	1222537328492
SPT(16)	2136117960432051283	0 34 48 58 64 78 94 114 154 174 190 204 210 220 234 268	1280992297364