Prime p₀= 1291139608268090687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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=77, k=10, 2 28 2 10 2

STPT(10)	1291138201028455469	0 2 18 20 30 32 42 44 60 62	-1407239635218
SPT(16)	1291138504209292747	0 12 106 136 166 172 192 196 246 250 270 276 306 336 430 442	-1104058797940
TPT(14)	1291138526323039529	0 2 42 44 78 80 102 104 120 122 132 134 168 170	-1081945051158
STPT(10)	1291138945053551651	0 2 30 32 78 80 126 128 156 158	-663214539036
SPT(16)	1291139175367545841	0 42 52 58 88 102 162 168 172 178 238 252 282 288 298 340	-432900544846
STPT(10)	1291139601800271647	0 2 30 32 72 74 114 116 144 146	-6467819040
SPT(16)	1291139797155413707	0 36 54 60 90 112 120 166 210 256 264 286 316 322 340 376	188887323020
SPT(16)	1291139801499611821	0 10 36 42 58 108 168 172 336 340 400 450 466 472 498 508	193231521134
STPT(10)	1291140156116851067	0 2 24 26 42 44 60 62 84 86	547848760380
STPT(10)	1291140205972678067	0 2 30 32 42 44 54 56 84 86	597704587380
SPT(16)	1291140936977673919	0 18 34 40 48 82 118 184 228 294 330 364 372 378 394 412	1328709583232