Prime p₀= 782498523371745977 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: szymmirr
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	782497344954906307	0 16 30 42 84 100 112 160 216 264 276 292 334 346 360 376	-1178416839670
SPT(16)	782497443762286211	0 12 32 36 66 78 86 108 170 192 200 212 242 246 266 278	-1079609459766
STPT(10)	782497729617092297	0 2 12 14 42 44 72 74 84 86	-793754653680
SPT(16)	782497904028852059	0 32 44 54 68 90 102 104 138 140 152 174 188 198 210 242	-619342893918
SPT(16)	782498142366068129	0 24 42 60 80 84 92 114 128 150 158 162 182 200 218 242	-381005677848
STPT(10)	782498169259713029	0 2 12 14 30 32 48 50 60 62	-354112032948
SPT(16)	782498830351317413	0 6 48 66 80 116 126 138 146 158 168 204 218 236 278 284	306979571436
SPT(16)	782498856816954437	0 2 12 44 84 110 132 146 150 164 186 212 252 284 294 296	333445208460
SPT(16)	782499101471864071	0 52 60 72 88 148 168 190 270 292 312 372 388 400 408 460	578100118094
STPT(12)	782499171081062117	0 2 12 14 42 44 60 62 90 92 102 104	647709316140
SPT(16)	782499251525996033	0 24 78 128 138 144 164 194 210 240 260 266 276 326 380 404	728154250056