Prime p₀= 2658122809211290241 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2658121732219127359	0 22 28 34 52 58 72 78 154 160 174 180 198 204 210 232	-1076992162882
SPT(16)	2658121981092722029	0 28 30 42 58 64 70 88 114 132 138 144 160 172 174 202	-828118568212
SPT(16)	2658122069549244751	0 46 52 76 88 118 138 168 220 250 270 300 312 336 342 388	-739662045490
STPT(10)	2658122109830839187	0 2 30 32 42 44 54 56 84 86	-699380451054
SPT(16)	2658122471849277077	0 2 12 32 36 42 50 72 80 102 110 116 120 140 150 152	-337362013164
SPT(16)	2658122665181723681	0 30 42 60 90 102 116 120 152 156 170 182 212 230 242 272	-144029566560
STPT(10)	2658123084841369427	0 2 42 44 72 74 102 104 144 146	275630079186
STPT(10)	2658123441129618359	0 2 78 80 120 122 162 164 240 242	631918328118
SPT(16)	2658123676231297693	0 4 28 84 90 130 136 144 160 168 174 214 220 276 300 304	867020007452
TPT(14)	2658123763000331369	0 2 102 104 162 164 168 170 210 212 282 284 330 332	953789041128
SPT(16)	2658124416481330409	0 2 30 32 60 68 78 110 270 302 312 320 348 350 378 380	1607270040168