Prime p₀= 802050262993587659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: schoussi
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	802048549555474927	0 10 16 30 66 94 114 124 156 166 186 214 250 264 270 280	-1713438112732
STPT(10)	802048632626274767	0 2 24 26 42 44 60 62 84 86	-1630367312892
SPT(16)	802048674583907827	0 16 76 136 172 186 196 214 222 240 250 264 300 360 420 436	-1588409679832
STPT(10)	802049455031084969	0 2 18 20 60 62 102 104 120 122	-807962502690
SPT(16)	802049610997899359	0 30 32 62 72 78 90 98 174 182 194 200 210 240 242 272	-651995688300
SPT(16)	802049931027192223	0 10 54 78 154 166 168 208 216 256 258 270 346 370 414 424	-331966395436
STPT(10)	802050573639820007	0 2 24 26 42 44 60 62 84 86	310646232348
STPT(10)	802050955303893857	0 2 42 44 72 74 102 104 144 146	692310306198
SPT(16)	802051099533634273	0 36 58 78 88 114 130 138 196 204 220 246 256 276 298 334	836540046614
SPT(16)	802051147892241263	0 38 78 80 150 168 174 206 228 260 266 284 354 356 396 434	884898653604
SPT(16)	802051201163342399	0 20 24 42 44 84 92 122 180 210 218 258 260 278 282 302	938169754740