Prime p₀= 798756507667239239 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: declis
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	798754886404634749	0 22 24 52 64 142 148 168 184 204 210 288 300 328 330 352	-1621262604490
STPT(10)	798755252610021407	0 2 30 32 42 44 54 56 84 86	-1255057217832
TPT(14)	798755798157100739	0 2 90 92 132 134 138 140 180 182 222 224 282 284	-709510138500
STPT(10)	798756092891878799	0 2 18 20 30 32 42 44 60 62	-414775360440
TPT(14)	798756101823748529	0 2 30 32 60 62 102 104 108 110 168 170 312 314	-405843490710
SPT(16)	798756289449171061	0 60 82 88 106 112 136 156 472 492 516 522 540 546 568 628	-218218068178
STPT(10)	798756662955229787	0 2 54 56 72 74 90 92 144 146	155287990548
TPT(14)	798756827948700317	0 2 30 32 114 116 132 134 180 182 270 272 342 344	320281461078
STPT(10)	798756970344569441	0 2 6 8 18 20 30 32 36 38	462677330202
SPT(16)	798756981575503781	0 6 12 26 42 48 62 78 80 96 110 116 132 146 152 158	473908264542
STPT(10)	798757120919430809	0 2 12 14 90 92 168 170 180 182	613252191570