Prime p₀= 2738136003416841617 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: [SG-FC] hl
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2738135551143421411	0 22 30 48 52 58 72 82 108 118 132 138 142 160 168 190	-452273420206
SPT(16)	2738135705155695371	0 38 72 86 156 170 176 182 186 192 198 212 282 296 330 368	-298261146246
TPT(14)	2738135714243196269	0 2 30 32 78 80 162 164 198 200 288 290 300 302	-289173645348
TPT(14)	2738135769610781987	0 2 30 32 54 56 102 104 192 194 264 266 282 284	-233806059630
SPT(18)	2738135838788864257	0 6 66 72 84 90 106 112 150 196 234 240 256 262 274 280 340 346	-164627977360
SPT(16)	2738135856691052471	0 42 56 66 78 96 108 188 210 290 302 320 332 342 356 398	-146725789146
STPT(10)	2738136005075599031	0 2 36 38 78 80 120 122 156 158	1658757414
STPT(10)	2738136009854973797	0 2 24 26 42 44 60 62 84 86	6438132180
STPT(10)	2738136055244970461	0 2 6 8 48 50 90 92 96 98	51828128844
TPT(14)	2738136165299268287	0 2 12 14 30 32 54 56 162 164 204 206 234 236	161882426670
STPT(10)	2738136297557997797	0 2 24 26 42 44 60 62 84 86	294141156180