Prime p₀= 2431559129355328937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(18)	2431558195640076953	0 14 38 48 66 90 108 140 170 204 234 266 284 308 326 336 360 374	-933715251984
SPT(16)	2431558552205004947	0 20 32 60 74 96 102 104 132 134 140 162 176 204 216 236	-577150323990
SPT(16)	2431558732562743177	0 10 16 76 130 132 136 150 196 210 214 216 270 330 336 346	-396792585760
SPT(16)	2431558756377472361	0 38 48 72 80 98 170 182 198 210 282 300 308 332 342 380	-372977856576
STPT(10)	2431558936193157227	0 2 30 32 72 74 114 116 144 146	-193162171710
SPT(16)	2431559023740436631	0 12 48 56 60 90 96 122 126 152 158 188 192 200 236 248	-105614892306
SPT(20)	2431559310626828951	0 2 6 38 72 78 86 90 92 98 150 156 158 162 170 176 210 242 246 248	181271500014
STPT(10)	2431559458698883967	0 2 24 26 42 44 60 62 84 86	329343555030
STPT(10)	2431559590304292947	0 2 90 92 102 104 114 116 204 206	460948964010
SPT(16)	2431559665039616351	0 30 66 92 108 146 158 188 270 300 312 350 366 392 428 458	535684287414
STPT(10)	2431560326647268777	0 2 30 32 102 104 174 176 204 206	1197291939840