Prime p₀= 4305796974164983439 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: Chooka
db: batch=85, k=10, 2 16 2 10 2

SPT(16)	4305795579613663153	0 6 28 64 120 156 160 168 196 204 208 244 300 336 358 364	-1394551320286
SPT(16)	4305795960466226299	0 34 40 64 72 112 132 154 168 190 210 250 258 282 288 322	-1013698757140
SPT(16)	4305796060152441373	0 4 24 36 70 84 100 150 184 234 250 264 298 310 330 334	-914012542066
SPT(16)	4305796209794543071	0 10 66 88 100 126 130 132 136 138 142 168 180 202 258 268	-764370440368
STPT(12)	4305796213197995627	0 2 12 14 42 44 72 74 102 104 114 116	-760966987812
STPT(10)	4305796404902350409	0 2 42 44 60 62 78 80 120 122	-569262633030
SPT(16)	4305796996767122767	0 22 30 42 60 66 70 106 150 186 190 196 214 226 234 256	22602139328
STPT(10)	4305797090082024767	0 2 24 26 42 44 60 62 84 86	115917041328
STPT(10)	4305797303065585937	0 2 30 32 120 122 210 212 240 242	328900602498
SPT(16)	4305797308461004487	0 20 24 84 92 110 132 152 162 182 204 222 230 290 294 314	334296021048
SPT(16)	4305797858725496867	0 30 86 116 122 126 140 144 152 156 170 174 180 210 266 296	884560513428