Prime p₀= 492804412519317317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: nenym
db: batch=70, k=10, 2 40 2 28 2

SPT(14)	492804323426821111	0 66 96 102 112 166 180 208 222 276 286 292 322 388	-89092496206
TPT(12)	492804338506335617	0 2 54 56 150 152 192 194 210 212 240 242	-74012981700
SPT(14)	492804372155366059	0 24 40 78 84 88 148 150 210 214 220 258 274 298	-40363951258
SPT(14)	492804377417775529	0 30 78 82 108 124 144 148 168 184 210 214 262 292	-35101541788
SPT(14)	492804380363149891	0 12 58 60 72 78 102 106 130 136 148 150 196 208	-32156167426
SPT(16)	492804392418793909	0 10 42 84 88 142 150 154 168 172 180 234 238 280 312 322	-20100523408
SPT(14)	492804419823794677	0 30 54 70 82 100 112 132 144 162 174 190 214 244	7304477360
SPT(14)	492804449265347243	0 8 24 38 84 114 126 128 140 170 216 230 246 254	36746029926
SPT(14)	492804475428224587	0 4 40 70 84 94 112 192 210 220 234 264 300 304	62908907270
TPT(12)	492804489584576129	0 2 102 104 120 122 210 212 240 242 408 410	77065258812
TPT(12)	492804493554233669	0 2 30 32 42 44 90 92 198 200 222 224	81034916352