Prime p₀= 253164751570821017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: desktop64
db: batch=69, k=10, 2 40 2 28 2

SPT(14)	253164678182632189	0 10 22 42 52 70 78 94 102 120 130 150 162 172	-73388188828
TPT(12)	253164684002981579	0 2 78 80 162 164 180 182 252 254 288 290	-67567839438
TPT(12)	253164685271745617	0 2 12 14 54 56 102 104 144 146 240 242	-66299075400
SPT(14)	253164695146665007	0 4 34 46 54 70 102 124 156 172 180 192 222 226	-56424156010
TPT(12)	253164706925338301	0 2 36 38 90 92 120 122 168 170 198 200	-44645482716
SPT(14)	253164721493921969	0 32 84 110 144 168 212 270 314 338 372 398 450 482	-30076899048
SPT(14)	253164759776042269	0 22 30 108 112 130 138 154 162 180 184 262 270 292	8205221252
SPT(14)	253164778884116611	0 22 30 36 42 52 70 102 120 130 136 142 150 172	27313295594
SPT(14)	253164782666562233	0 26 36 54 56 98 158 186 246 288 290 308 318 344	31095741216
SPT(14)	253164811252721531	0 8 30 38 42 60 66 92 98 116 120 128 150 158	59681900514
SPT(14)	253164812768951437	0 30 40 60 72 76 82 90 96 100 112 132 142 172	61198130420