Prime p₀= 1035720583812666119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1035719107766084627	0 2 12 14 72 74 132 134 144 146	-1476046581492
SPT(16)	1035719492155982927	0 14 74 86 96 102 122 140 156 174 194 200 210 222 282 296	-1091656683192
STPT(10)	1035719537422497449	0 2 18 20 30 32 42 44 60 62	-1046390168670
SPT(16)	1035720196230257843	0 26 48 54 96 126 134 144 170 180 188 218 260 266 288 314	-387582408276
STPT(10)	1035720391871675969	0 2 42 44 90 92 138 140 180 182	-191940990150
SPT(16)	1035720461052706019	0 30 104 162 198 224 290 294 338 342 408 434 470 528 602 632	-122759960100
SPT(16)	1035720718215157921	0 16 42 52 72 78 102 136 162 196 220 226 246 256 282 298	134402491802
SPT(16)	1035720791968153223	0 6 50 140 144 150 176 216 284 324 350 356 360 450 494 500	208155487104
SPT(16)	1035720836769488581	0 12 40 66 78 106 112 136 162 186 192 220 232 258 286 298	252956822462
SPT(16)	1035721342037142169	0 22 40 120 138 148 168 210 232 274 294 304 322 402 420 442	758224476050
STPT(10)	1035721640324428427	0 2 30 32 42 44 54 56 84 86	1056511762308