Prime p₀= 1956348583888262297 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	1956347426332859251	0 6 40 46 60 82 118 130 138 150 186 208 222 228 262 268	-1157555403046
TPT(14)	1956347456414259917	0 2 24 26 72 74 84 86 150 152 180 182 192 194	-1127474002380
STPT(10)	1956347719015533161	0 2 36 38 108 110 180 182 216 218	-864872729136
SPT(16)	1956347852755019123	0 30 36 116 126 156 186 200 204 218 248 278 288 368 374 404	-731133243174
STPT(10)	1956348272199010757	0 2 12 14 72 74 132 134 144 146	-311689251540
SPT(16)	1956348403222083007	0 4 34 42 64 96 120 142 144 166 190 222 244 252 282 286	-180666179290
SPT(16)	1956348596196748951	0 10 42 46 58 96 108 196 252 340 352 390 402 406 438 448	12308486654
SPT(16)	1956348781267082123	0 36 38 54 84 108 116 150 194 228 236 260 290 306 308 344	197378819826
TPT(14)	1956348831399135827	0 2 12 14 42 44 120 122 132 134 162 164 192 194	247510873530
STPT(10)	1956349290151322579	0 2 42 44 60 62 78 80 120 122	706263060282
TPT(16)	1956349612124552339	0 2 90 92 102 104 120 122 132 134 162 164 198 200 288 290	1028236290042