Prime p₀= 2068538698503012641 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Cruncher Pete
db: batch=80, k=10, 2 4 2 40 2

SPT(16)	2068536466805772949	0 10 34 112 124 144 172 214 300 342 370 390 402 480 504 514	-2231697239692
SPT(16)	2068536701971457203	0 54 58 84 114 126 150 154 180 184 208 220 250 276 280 334	-1996531555438
STPT(10)	2068537213758321737	0 2 54 56 72 74 90 92 144 146	-1484744690904
STPT(10)	2068537264455813581	0 2 78 80 108 110 138 140 216 218	-1434047199060
STPT(10)	2068537546506672557	0 2 30 32 42 44 54 56 84 86	-1151996340084
STPT(10)	2068538041265436371	0 2 120 122 138 140 156 158 276 278	-657237576270
STPT(10)	2068538771436958781	0 2 36 38 78 80 120 122 156 158	72933946140
SPT(16)	2068538903431253329	0 42 52 88 108 112 130 142 168 180 198 202 222 258 268 310	204928240688
STPT(10)	2068538981272054607	0 2 30 32 42 44 54 56 84 86	282769041966
SPT(16)	2068539107895035021	0 8 12 26 50 86 96 110 168 182 192 228 252 266 270 278	409392022380
STPT(10)	2068539484670160119	0 2 48 50 60 62 72 74 120 122	786167147478