Prime p₀= 800829972088769627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: schoussi
db: batch=73, k=10, 2 40 2 88 2

SPT(16)	800828891509068119	0 12 18 60 80 120 122 158 294 330 332 372 392 434 440 452	-1080579701508
SPT(16)	800829577657546253	0 18 60 78 84 90 108 134 174 200 218 224 230 248 290 308	-394431223374
STPT(10)	800829644545158257	0 2 30 32 42 44 54 56 84 86	-327543611370
SPT(16)	800829691861213309	0 18 42 78 102 120 142 144 148 150 172 190 214 250 274 292	-280227556318
STPT(10)	800829710119257491	0 2 30 32 78 80 126 128 156 158	-261969512136
SPT(16)	800829922604603119	0 4 34 48 54 64 88 90 118 120 144 154 160 174 204 208	-49484166508
SPT(16)	800830039690582723	0 16 48 54 66 70 154 156 178 180 264 268 280 286 318 334	67601813096
STPT(10)	800830371085518227	0 2 24 26 42 44 60 62 84 86	398996748600
STPT(10)	800831151050896289	0 2 42 44 60 62 78 80 120 122	1178962126662
SPT(16)	800831305438291643	0 26 36 60 74 80 126 180 230 284 330 336 350 374 384 410	1333349522016
SPT(16)	800831698737610249	0 12 28 42 54 78 90 94 138 142 154 178 190 204 220 232	1726648840622