Prime p₀= 2431559458698883967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JonS
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2431558732562743177	0 10 16 76 130 132 136 150 196 210 214 216 270 330 336 346	-726136140790
SPT(16)	2431558756377472361	0 38 48 72 80 98 170 182 198 210 282 300 308 332 342 380	-702321411606
STPT(10)	2431558936193157227	0 2 30 32 72 74 114 116 144 146	-522505726740
SPT(16)	2431559023740436631	0 12 48 56 60 90 96 122 126 152 158 188 192 200 236 248	-434958447336
STPT(10)	2431559129355328937	0 2 30 32 42 44 54 56 84 86	-329343555030
SPT(20)	2431559310626828951	0 2 6 38 72 78 86 90 92 98 150 156 158 162 170 176 210 242 246 248	-148072055016
STPT(10)	2431559590304292947	0 2 90 92 102 104 114 116 204 206	131605408980
SPT(16)	2431559665039616351	0 30 66 92 108 146 158 188 270 300 312 350 366 392 428 458	206340732384
STPT(10)	2431560326647268777	0 2 30 32 102 104 174 176 204 206	867948384810
SPT(16)	2431560400729916777	0 54 60 66 96 102 116 126 170 180 194 200 230 236 242 296	942031032810
SPT(16)	2431560599526268291	0 12 60 72 90 118 132 138 202 208 222 250 268 280 328 340	1140827384324