Prime p₀= 2123503089101185061 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: Landjunge
db: batch=80, k=10, 2 4 2 40 2

SPT(16)	2123502663105728767	0 10 24 42 46 66 100 114 172 186 220 240 244 262 276 286	-425995456294
SPT(16)	2123502873149092117	0 12 40 42 64 70 72 90 154 172 174 180 202 204 232 244	-215952092944
STPT(10)	2123502883910358791	0 2 36 38 78 80 120 122 156 158	-205190826270
SPT(16)	2123502907679424793	0 4 34 36 40 88 144 148 186 190 246 294 298 300 330 334	-181421760268
STPT(10)	2123502968149402727	0 2 24 26 42 44 60 62 84 86	-120951782334
STPT(10)	2123502998780373239	0 2 30 32 120 122 210 212 240 242	-90320811822
SPT(16)	2123503750707843577	0 16 24 52 82 120 150 154 162 166 196 234 264 292 300 316	661606658516
STPT(10)	2123503760585427641	0 2 36 38 78 80 120 122 156 158	671484242580
SPT(16)	2123504058091313113	0 10 30 34 58 76 84 118 126 160 168 186 210 214 234 244	968990128052
STPT(10)	2123504205721842917	0 2 30 32 42 44 54 56 84 86	1116620657856
STPT(10)	2123505254030390309	0 2 48 50 60 62 72 74 120 122	2164929205248