Prime p₀= 976977283997065457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	976976572017197957	0 14 24 32 44 72 80 84 122 126 134 162 174 182 192 206	-711979867500
SPT(16)	976976630992651931	0 32 36 42 50 56 102 108 110 116 162 168 176 182 186 218	-653004413526
SPT(16)	976976635781962787	0 12 20 60 80 152 186 210 212 236 270 342 362 402 410 422	-648215102670
SPT(16)	976976818162079353	0 58 94 168 190 204 216 280 324 388 400 414 436 510 546 604	-465834986104
SPT(16)	976977098108992577	0 20 42 86 104 114 116 174 182 240 242 252 270 314 336 356	-185888072880
STPT(10)	976977230905585961	0 2 6 8 18 20 30 32 36 38	-53091479496
STPT(10)	976977332916232169	0 2 18 20 30 32 42 44 60 62	48919166712
STPT(10)	976977496456779017	0 2 54 56 72 74 90 92 144 146	212459713560
TPT(14)	976977661606166657	0 2 24 26 54 56 90 92 132 134 150 152 192 194	377609101200
SPT(16)	976978576735579711	0 16 28 40 76 88 112 130 168 186 210 222 258 270 282 298	1292738514254
SPT(16)	976979049849442307	0 20 66 72 96 132 162 272 324 434 464 500 524 530 576 596	1765852376850