Prime p₀= 4294596023599753367 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: Chooka
db: batch=85, k=10, 2 10 2 28 2

STPT(10)	4294595520964982291	0 2 36 38 78 80 120 122 156 158	-502634771076
STPT(10)	4294595631814379327	0 2 42 44 72 74 102 104 144 146	-391785374040
STPT(10)	4294595651417760509	0 2 18 20 30 32 42 44 60 62	-372181992858
STPT(14)	4294595718282738887	0 2 12 14 42 44 72 74 102 104 132 134 144 146	-305317014480
TPT(14)	4294595718282738887	0 2 12 14 42 44 72 74 102 104 132 134 144 146	-305317014480
SPT(16)	4294595922963049961	0 8 20 32 90 102 140 192 218 270 308 320 378 390 402 410	-100636703406
SPT(16)	4294596345722377273	0 60 64 120 126 138 196 208 216 228 286 298 304 360 364 424	322122623906
SPT(16)	4294596700302969007	0 34 76 126 136 150 192 220 276 304 346 360 370 420 462 496	676703215640
STPT(10)	4294596948571953167	0 2 42 44 72 74 102 104 144 146	924972199800
SPT(16)	4294597020077105923	0 4 30 34 46 48 90 100 114 124 166 168 180 184 210 214	996477352556
SPT(16)	4294597453545907763	0 14 30 48 54 80 168 176 378 386 474 500 506 524 540 554	1429946154396