Prime p₀= 745722844840093187 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: Theadalus
db: batch=73, k=10, 2 10 2 58 2

SPT(16)	745722061036715309	0 30 68 114 134 158 162 180 182 200 204 228 248 294 332 362	-783803377878
STPT(10)	745722215365778471	0 2 6 8 18 20 30 32 36 38	-629474314716
SPT(18)	745722287183027543	0 6 48 60 78 96 126 138 156 158 176 188 218 236 254 266 308 314	-557657065644
SPT(16)	745722470972569471	0 6 30 40 72 82 132 142 150 160 210 220 252 262 286 292	-373867523716
SPT(16)	745722545607767803	0 18 28 48 60 96 118 130 204 216 238 274 286 306 316 334	-299232325384
SPT(16)	745722807817998443	0 26 30 44 66 68 90 110 144 164 186 188 210 224 228 254	-37022094744
SPT(16)	745722928258799599	0 28 30 40 82 108 118 124 168 174 184 210 252 262 264 292	83418706412
STPT(10)	745723090170774239	0 2 18 20 30 32 42 44 60 62	245330681052
STPT(10)	745723301354725451	0 2 6 8 18 20 30 32 36 38	456514632264
SPT(16)	745723354634892499	0 10 40 52 54 64 78 82 90 94 108 118 120 132 162 172	509794799312
SPT(16)	745723644819580639	0 10 42 70 168 198 210 232 240 262 274 304 402 430 462 472	799979487452