Prime p₀= 1016557060723542587 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: HenkM
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1016556573164703017	0 14 44 56 110 140 174 200 210 236 270 300 354 366 396 410	-487558839570
SPT(16)	1016556580087554371	0 6 8 20 32 38 60 68 90 98 120 126 138 150 152 158	-480635988216
STPT(10)	1016556681609914741	0 2 6 8 18 20 30 32 36 38	-379113627846
SPT(16)	1016556727959081847	0 42 54 72 76 90 126 174 202 250 286 300 304 322 334 376	-332764460740
SPT(16)	1016556874220005219	0 34 52 54 58 154 204 210 232 238 288 384 388 390 408 442	-186503537368
SPT(16)	1016556876756262987	0 34 52 70 94 96 112 124 132 144 160 162 186 204 222 256	-183967279600
STPT(10)	1016557251489284171	0 2 6 8 18 20 30 32 36 38	190765741584
SPT(13)	1016557290882384973	0 30 66 108 126 138 168 198 210 228 270 306 336	230158842386
STPT(10)	1016557307149137569	0 2 12 14 30 32 48 50 60 62	246425594982
SPT(16)	1016557502098873781	0 8 18 36 78 146 170 176 180 186 210 278 320 338 348 356	441375331194
SPT(16)	1016557568669537017	0 22 34 70 82 102 120 126 160 166 184 204 216 252 264 286	507945994430