Prime p₀= 1123495862754511451 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: stoneageman
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1123495072469103791	0 62 66 86 116 150 162 188 270 296 308 342 372 392 396 458	-790285407660
STPT(10)	1123495105403321867	0 2 60 62 72 74 84 86 144 146	-757351189584
STPT(10)	1123495108467538271	0 2 90 92 108 110 126 128 216 218	-754286973180
SPT(16)	1123495212515137349	0 84 132 164 194 222 242 252 332 342 362 390 420 452 500 584	-650239374102
STPT(10)	1123495344515233511	0 2 6 8 48 50 90 92 96 98	-518239277940
SPT(16)	1123495424634587227	0 12 16 54 60 82 112 126 130 144 174 196 202 240 244 256	-438119924224
SPT(16)	1123496109626541947	0 14 62 66 90 114 132 134 162 164 182 206 230 234 282 296	246872030496
SPT(18)	1123496187776107591	0 10 12 28 52 76 108 112 136 162 186 190 222 246 270 286 288 298	325021596140
STPT(10)	1123496539316897267	0 2 30 32 42 44 54 56 84 86	676562385816
STPT(10)	1123496548843903901	0 2 6 8 18 20 30 32 36 38	686089392450
SPT(16)	1123496615185414399	0 12 40 54 102 114 132 174 178 220 238 250 298 312 340 352	752430902948