Prime p₀= 2313289551801336221 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Orange Kid
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2313288618158315443	0 16 28 60 64 88 94 106 198 210 216 240 244 276 288 304	-933643020778
STPT(10)	2313288726661085597	0 2 54 56 72 74 90 92 144 146	-825140250624
SPT(16)	2313288802288763531	0 26 36 42 56 92 96 108 140 152 156 192 206 212 222 248	-749512572690
STPT(10)	2313288850026855521	0 2 30 32 120 122 210 212 240 242	-701774480700
SPT(16)	2313289063743701509	0 22 60 70 112 160 174 204 250 280 294 342 384 394 432 454	-488057634712
STPT(10)	2313289509341390231	0 2 36 38 78 80 120 122 156 158	-42459945990
SPT(16)	2313289735848458221	0 10 100 136 148 178 268 280 348 360 450 480 492 528 618 628	184047122000
STPT(10)	2313289773007236869	0 2 18 20 30 32 42 44 60 62	221205900648
SPT(16)	2313289878445384921	0 10 12 18 40 60 112 148 150 186 238 258 280 286 288 298	326644048700
SPT(16)	2313289898588173717	0 4 24 102 106 120 154 156 190 192 226 240 244 322 342 346	346786837496
STPT(10)	2313289922067376079	0 2 18 20 60 62 102 104 120 122	370266039858