Prime p₀= 1058492910707699627 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: Theadalus
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1058492262197137393	0 28 66 70 84 108 114 156 178 220 226 250 264 268 306 334	-648510562234
TPT(14)	1058492279760336977	0 2 90 92 132 134 150 152 174 176 180 182 210 212	-630947362650
SPT(16)	1058492305579250197	0 36 60 76 106 154 160 162 214 216 222 270 300 316 340 376	-605128449430
STPT(10)	1058492538638963999	0 2 18 20 30 32 42 44 60 62	-372068735628
STPT(10)	1058492747614766207	0 2 30 32 102 104 174 176 204 206	-163092933420
SPT(16)	1058492769575640229	0 12 18 52 102 132 160 168 172 180 208 238 288 322 328 340	-141132059398
SPT(16)	1058493058435282321	0 12 42 88 90 126 132 148 150 166 172 208 210 256 286 298	147727582694
SPT(16)	1058493141623767721	0 42 50 92 98 110 126 128 180 182 198 210 216 258 266 308	230916068094
SPT(16)	1058493212642407219	0 52 82 94 108 142 174 210 292 328 360 394 408 420 450 502	301934707592
SPT(16)	1058493367217269541	0 6 8 50 108 122 140 158 210 228 246 260 318 360 362 368	456509569914
SPT(16)	1058493440535504577	0 10 22 42 60 192 196 220 246 270 274 406 424 444 456 466	529827804950