Prime p₀= 1014043438431006407 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: stoneageman
db: batch=76, k=10, 2 10 2 58 2

SPT(16)	1014042384179371357	0 16 30 66 70 90 126 142 150 166 202 222 226 262 276 292	-1054251635050
STPT(10)	1014042500600809481	0 2 6 8 48 50 90 92 96 98	-937830196926
SPT(16)	1014042623045200963	0 48 84 130 186 190 210 294 400 484 504 508 564 610 646 694	-815385805444
SPT(16)	1014043099746575177	0 14 42 104 146 156 206 240 266 300 350 360 402 464 492 506	-338684431230
SPT(16)	1014043121714350933	0 10 18 28 30 36 60 106 108 154 178 184 186 196 204 214	-316716655474
STPT(10)	1014043166231435441	0 2 6 8 48 50 90 92 96 98	-272199570966
SPT(16)	1014043469481580579	0 28 42 72 118 142 172 178 192 198 228 252 298 328 342 370	31050574172
STPT(10)	1014043584576175367	0 2 30 32 42 44 54 56 84 86	146145168960
STPT(10)	1014043718555699549	0 2 12 14 90 92 168 170 180 182	280124693142
SPT(16)	1014043797046471669	0 4 22 52 70 84 100 114 148 162 178 192 210 240 258 262	358615465262
STPT(10)	1014043806901947917	0 2 30 32 42 44 54 56 84 86	368470941510