Prime p₀= 3011156677178226077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: conf [MM]
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	3011154581730014389	0 24 28 54 88 90 94 124 138 168 172 174 208 234 238 262	-2095448211688
STPT(10)	3011154696382445399	0 2 48 50 90 92 132 134 180 182	-1980795780678
SPT(16)	3011154775683744527	0 12 50 54 104 120 144 162 164 182 206 222 272 276 314 326	-1901494481550
SPT(16)	3011155791344815859	0 24 30 38 134 150 170 254 258 342 362 378 474 482 488 512	-885833410218
SPT(16)	3011156393432844341	0 2 12 20 26 32 86 116 126 156 210 216 222 230 240 242	-283745381736
STPT(10)	3011156419961533937	0 2 30 32 60 62 90 92 120 122	-257216692140
SPT(16)	3011156766739854457	0 4 30 60 64 70 112 132 154 174 216 222 226 256 282 286	89561628380
STPT(10)	3011156768226871907	0 2 24 26 42 44 60 62 84 86	91048645830
STPT(10)	3011156807387946587	0 2 30 32 42 44 54 56 84 86	130209720510
STPT(10)	3011157457938047837	0 2 42 44 72 74 102 104 144 146	780759821760
TPT(14)	3011157486594150779	0 2 18 20 132 134 138 140 198 200 222 224 312 314	809415924702