Prime p₀= 2550821027748159371 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2550820051363590037	0 6 40 120 124 142 160 196 210 246 264 282 286 366 400 406	-976384569334
STPT(10)	2550820399234098317	0 2 30 32 42 44 54 56 84 86	-628514061054
SPT(16)	2550820437225537619	0 22 24 30 58 60 64 84 88 108 112 114 142 148 150 172	-590522621752
SPT(13)	2550820537654696777	0 30 42 72 120 126 156 186 192 240 270 282 312	-490093462594
STPT(10)	2550820619956719347	0 2 12 14 42 44 72 74 84 86	-407791440024
STPT(10)	2550820964068171979	0 2 30 32 60 62 90 92 120 122	-63679987392
SPT(16)	2550821053531139797	0 4 24 42 46 64 70 90 106 126 132 150 154 172 192 196	25782980426
SPT(16)	2550821053580075527	0 34 54 70 84 132 144 160 186 202 214 262 276 292 312 346	25831916156
SPT(16)	2550821278775897653	0 64 106 120 130 208 246 268 276 298 336 414 424 438 480 544	251027738282
SPT(16)	2550821423814853727	0 2 6 44 62 80 96 104 132 140 156 174 192 230 234 236	396066694356
STPT(10)	2550822200679363197	0 2 30 32 72 74 114 116 144 146	1172931203826