Prime p₀= 1079695205257251617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: stoneageman
db: batch=76, k=10, 2 58 2 10 2

SPT(16)	1079694397857037189	0 10 12 22 138 142 190 192 238 240 288 292 408 418 420 430	-807400214428
SPT(16)	1079694401462867347	0 40 84 106 124 150 174 244 252 322 346 372 390 412 456 496	-803794384270
SPT(16)	1079694493888036787	0 12 26 36 54 60 74 80 96 102 116 122 140 150 164 176	-711369214830
STPT(10)	1079694715148952731	0 2 6 8 48 50 90 92 96 98	-490108298886
STPT(10)	1079694954940763801	0 2 6 8 48 50 90 92 96 98	-250316487816
SPT(16)	1079695069764916837	0 36 46 52 70 96 112 144 172 204 220 246 264 270 280 316	-135492334780
STPT(10)	1079695404980498429	0 2 12 14 30 32 48 50 60 62	199723246812
SPT(16)	1079695632259727309	0 14 50 60 128 138 158 180 182 204 224 234 302 312 348 362	427002475692
STPT(10)	1079695691841544829	0 2 42 44 60 62 78 80 120 122	486584293212
SPT(16)	1079695752609027761	0 60 98 102 128 132 198 210 230 242 308 312 338 342 380 440	547351776144
SPT(16)	1079695889845917677	0 32 50 92 126 170 224 242 264 282 336 380 414 456 474 506	684588666060