Prime p₀= 798815273168816987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 28 2 40 2

SPT(16)	798813532875356177	0 12 20 56 72 84 86 132 134 180 182 194 210 246 254 266	-1740293460810
STPT(10)	798814128230009009	0 2 18 20 30 32 42 44 60 62	-1144938807978
TPT(14)	798814179309244829	0 2 12 14 78 80 90 92 132 134 162 164 210 212	-1093859572158
TPT(14)	798814305092865599	0 2 30 32 102 104 168 170 198 200 222 224 270 272	-968075951388
SPT(16)	798814546870321801	0 10 22 42 46 52 78 102 106 130 156 162 166 186 198 208	-726298495186
SPT(16)	798814945767603469	0 18 28 34 48 64 84 94 144 154 174 190 204 210 220 238	-327401213518
SPT(16)	798815361973359671	0 20 110 128 162 168 188 210 218 240 260 266 300 318 408 428	88804542684
STPT(10)	798815553557852861	0 2 30 32 60 62 90 92 120 122	280389035874
SPT(18)	798815640478501021	0 10 78 82 88 150 160 190 252 298 360 390 400 462 468 472 540 550	367309684034
SPT(16)	798815824621564021	0 28 30 42 48 60 76 82 186 192 208 220 226 238 240 268	551452747034
SPT(16)	798816115285459871	0 12 20 42 48 78 92 98 132 138 152 182 188 210 218 230	842116642884