Prime p₀= 789039263650773437 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: [SG]FX
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	789037883239942781	0 12 78 98 102 110 120 132 146 158 168 176 180 200 266 278	-1380410830656
SPT(16)	789038151819844669	0 10 18 52 64 114 142 178 204 240 268 318 330 364 372 382	-1111830928768
STPT(10)	789038319031784147	0 2 42 44 72 74 102 104 144 146	-944618989290
STPT(10)	789038630099032589	0 2 48 50 90 92 132 134 180 182	-633551740848
STPT(10)	789038738838686549	0 2 12 14 90 92 168 170 180 182	-524812086888
SPT(16)	789039194394258317	0 66 80 116 122 132 144 146 210 212 224 234 240 276 290 356	-69256515120
STPT(10)	789039558473216117	0 2 12 14 42 44 72 74 84 86	294822442680
SPT(16)	789040190127316859	0 32 62 78 98 110 144 188 294 338 372 384 404 420 450 482	926476543422
STPT(10)	789040421898156689	0 2 18 20 30 32 42 44 60 62	1158247383252
SPT(16)	789041714699965171	0 12 58 82 102 112 126 142 156 172 186 196 216 240 286 298	2451049191734
SPT(16)	789042120751986529	0 4 52 58 84 88 114 120 172 178 204 208 234 240 288 292	2857101213092