Prime p₀= 3018712415514582329 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	3018710117287173059	0 14 20 90 104 122 144 192 242 290 312 330 344 414 420 434	-2298227409270
STPT(10)	3018710288886872651	0 2 30 32 78 80 126 128 156 158	-2126627709678
SPT(16)	3018710631008437699	0 22 54 90 120 154 178 190 192 204 228 262 292 328 360 382	-1784506144630
SPT(16)	3018710883689528309	0 24 32 44 84 102 122 128 144 150 170 188 228 240 248 272	-1531825054020
STPT(10)	3018711089475956969	0 2 48 50 90 92 132 134 180 182	-1326038625360
SPT(16)	3018711949298424499	0 4 24 84 112 150 214 234 340 360 424 462 490 550 570 574	-466216157830
SPT(16)	3018712450028090411	0 60 120 126 156 180 186 198 248 260 266 290 320 326 386 446	34513508082
SPT(16)	3018712778044746187	0 10 16 42 100 124 136 172 234 270 282 306 364 390 396 406	362530163858
SPT(16)	3018712827629530027	0 16 52 150 162 166 190 220 222 252 276 280 292 390 426 442	412114947698
SPT(18)	3018713456337541397	0 24 96 102 110 116 152 164 182 204 222 234 270 276 284 290 362 386	1040822959068
STPT(10)	3018713483722676141	0 2 78 80 108 110 138 140 216 218	1068208093812