Prime p₀= 2221217317645016027 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: Penguin
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2221216536005876977	0 54 72 96 102 126 156 166 210 220 250 274 280 304 322 376	-781639139050
SPT(16)	2221216846354414369	0 58 60 84 88 90 118 138 214 234 262 264 268 292 294 352	-471290601658
SPT(16)	2221216929446647921	0 18 28 40 52 118 132 136 162 166 180 246 258 270 280 298	-388198368106
SPT(16)	2221216956017508079	0 4 64 102 120 154 168 192 250 274 288 322 340 378 438 442	-361627507948
SPT(16)	2221216957415090009	0 12 48 50 72 92 102 128 144 170 180 200 222 224 260 272	-360229926018
STPT(10)	2221217272892765471	0 2 30 32 78 80 126 128 156 158	-44752250556
SPT(16)	2221217458515604447	0 10 12 64 70 90 114 120 196 202 226 246 252 304 306 316	140870588420
STPT(10)	2221217557075776167	0 2 30 32 42 44 54 56 84 86	239430760140
SPT(16)	2221217977408337837	0 20 44 132 186 296 314 336 380 402 420 530 584 672 696 716	659763321810
SPT(16)	2221218189299760227	0 24 26 30 42 44 56 66 110 120 132 134 146 150 152 176	871654744200
SPT(16)	2221218234921362753	0 14 24 90 150 194 200 234 266 300 306 350 410 476 486 500	917276346726