Prime p₀= 2738583445185229307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2738581911874246153	0 4 24 36 60 70 144 150 154 160 234 244 268 280 300 304	-1533310983154
STPT(10)	2738582071388437661	0 2 30 32 78 80 126 128 156 158	-1373796791646
SPT(16)	2738582379239106109	0 42 162 168 178 180 294 318 364 388 502 504 514 520 640 682	-1065946123198
SPT(16)	2738582792515429529	0 24 50 108 132 134 182 204 278 300 348 350 374 432 458 482	-652669799778
SPT(16)	2738583254972074319	0 14 20 80 84 90 110 122 150 162 182 188 192 252 258 272	-190213154988
SPT(16)	2738583390499539593	0 38 44 86 96 126 150 164 180 194 218 248 258 300 306 344	-54685689714
TPT(14)	2738584082887979111	0 2 36 38 168 170 198 200 210 212 216 218 300 302	637702749804
SPT(16)	2738584114944538097	0 20 42 56 90 102 132 150 206 224 254 266 300 314 336 356	669759308790
SPT(16)	2738584762416709039	0 10 12 52 58 70 72 120 142 190 192 204 210 250 252 262	1317231479732
STPT(10)	2738584920648554441	0 2 36 38 78 80 120 122 156 158	1475463325134
TPT(14)	2738585785071217997	0 2 12 14 54 56 60 62 84 86 114 116 222 224	2339885988690