Prime p₀= 2690942209343209091 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: Roadranner
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2690940608984712881	0 2 20 38 56 80 122 132 146 156 198 222 240 258 276 278	-1600358496210
STPT(10)	2690940661370313029	0 2 18 20 30 32 42 44 60 62	-1547972896062
SPT(16)	2690940672001080007	0 12 54 60 70 90 112 126 130 144 166 186 196 202 244 256	-1537342129084
STPT(10)	2690940977228339357	0 2 12 14 132 134 252 254 264 266	-1232114869734
SPT(16)	2690941272305370571	0 6 16 36 58 78 138 166 240 268 328 348 370 390 400 406	-937037838520
STPT(10)	2690941301515237229	0 2 42 44 90 92 138 140 180 182	-907827971862
STPT(10)	2690942363488018691	0 2 6 8 18 20 30 32 36 38	154144809600
SPT(16)	2690942810032881487	0 6 12 72 90 94 136 180 196 240 282 286 304 364 370 376	600689672396
SPT(16)	2690942991844520243	0 6 48 68 80 96 98 108 206 216 218 234 246 266 308 314	782501311152
STPT(10)	2690942998589611901	0 2 36 38 78 80 120 122 156 158	789246402810
SPT(16)	2690943027166552489	0 28 30 58 88 100 130 144 154 168 198 210 240 268 270 298	817823343398