Prime p₀= 4266414811125231407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Chooka
db: batch=85, k=10, 2 28 2 10 2

SPT(16)	4266413177495422423	0 18 28 84 120 178 184 210 214 240 246 304 340 396 406 424	-1633629808984
SPT(16)	4266413420574920773	0 4 28 54 58 64 114 138 190 214 264 270 274 300 324 328	-1390550310634
STPT(10)	4266413816118530777	0 2 30 32 42 44 54 56 84 86	-995006700630
SPT(16)	4266414181117549273	0 10 24 106 154 186 228 234 310 316 358 390 438 520 534 544	-630007682134
SPT(16)	4266414314928670747	0 16 42 52 76 112 124 154 162 192 204 240 264 274 300 316	-496196560660
STPT(10)	4266414568988104229	0 2 12 14 90 92 168 170 180 182	-242137127178
SPT(16)	4266414878568986401	0 16 70 136 156 196 228 238 240 250 282 322 342 408 462 478	67443754994
SPT(16)	4266414879383769361	0 12 22 42 72 90 96 118 120 142 148 166 196 216 226 238	68258537954
SPT(16)	4266415568900613827	0 30 44 56 90 102 156 174 182 200 254 266 300 312 326 356	757775382420
SPT(16)	4266415716069836881	0 48 58 60 70 82 126 132 136 142 186 198 208 210 220 268	904944605474
STPT(10)	4266415862230738157	0 2 30 32 42 44 54 56 84 86	1051105506750