Prime p₀= 1016915479892838731 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: stoneageman
db: batch=76, k=10, 2 4 2 10 2

SPT(20)	1016914191140592839	0 20 42 50 108 164 254 300 318 320 402 404 422 468 558 614 672 680 702 722	-1288752245892
SPT(16)	1016914243758139777	0 22 42 70 84 96 136 154 162 180 220 232 246 274 294 316	-1236134698954
SPT(16)	1016914783727390651	0 6 32 110 116 158 168 182 186 200 210 252 258 336 362 368	-696165448080
STPT(10)	1016914796473353299	0 2 18 20 30 32 42 44 60 62	-683419485432
SPT(16)	1016914867037375321	0 8 12 36 42 110 120 122 156 158 168 236 242 266 270 278	-612855463410
SPT(16)	1016914884031709407	0 10 12 34 52 82 112 132 142 162 192 222 240 262 264 274	-595861129324
SPT(16)	1016915523138902927	0 14 36 60 72 122 192 212 234 254 324 374 386 410 432 446	43246064196
SPT(18)	1016915525714730877	0 34 112 124 130 132 186 196 214 252 270 280 334 336 342 354 432 466	45821892146
STPT(10)	1016915787499537337	0 2 24 26 42 44 60 62 84 86	307606698606
SPT(16)	1016915797740423391	0 6 18 28 76 88 90 142 156 208 210 222 270 280 292 298	317847584660
SPT(16)	1016915911660786667	0 12 26 74 92 116 144 162 164 182 210 234 252 300 314 326	431767947936