Prime p₀= 2356644977439457907 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: kashi
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2356642843055448349	0 12 24 28 30 34 64 100 132 168 198 202 204 208 220 232	-2134384009558
SPT(16)	2356643355817019917	0 6 22 46 64 126 154 160 216 222 250 312 330 354 370 376	-1621622437990
SPT(16)	2356643534024616743	0 18 26 36 54 78 84 86 168 170 176 200 218 228 236 254	-1443414841164
STPT(10)	2356644626492538269	0 2 18 20 30 32 42 44 60 62	-350946919638
SPT(16)	2356644669083130089	0 42 72 104 114 122 164 174 188 198 240 248 258 290 320 362	-308356327818
SPT(16)	2356644898392283241	0 18 26 32 86 96 108 110 198 200 212 222 276 282 290 308	-79047174666
SPT(18)	2356645282638785167	0 64 102 112 130 172 190 204 250 336 382 396 414 456 474 484 522 586	305199327260
SPT(16)	2356645351977209149	0 10 30 72 174 184 192 198 244 250 258 268 370 412 432 442	374537751242
SPT(16)	2356645457436116111	0 38 56 116 122 168 182 222 446 486 500 546 552 612 630 668	479996658204
SPT(16)	2356646064095629421	0 8 38 42 48 66 90 92 96 98 122 140 146 150 180 188	1086656171514
TPT(14)	2356646464452444257	0 2 30 32 120 122 144 146 174 176 210 212 240 242	1487012986350