Prime p₀= 2878574542888021301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2878573006792141781	0 38 48 50 56 62 68 92 126 150 156 162 168 170 180 218	-1536095879520
STPT(10)	2878573326049460069	0 2 18 20 30 32 42 44 60 62	-1216838561232
STPT(10)	2878573332382455737	0 2 12 14 42 44 72 74 84 86	-1210505565564
STPT(12)	2878573694976939719	0 2 12 14 42 44 60 62 90 92 102 104	-847911081582
SPT(16)	2878574029185643199	0 20 32 50 54 90 102 110 132 140 152 188 192 210 222 242	-513702378102
SPT(16)	2878574062439131349	0 12 30 72 102 108 150 168 212 230 272 278 308 350 368 380	-480448889952
STPT(10)	2878574804714905991	0 2 36 38 78 80 120 122 156 158	261826884690
STPT(10)	2878574917439939609	0 2 132 134 150 152 168 170 300 302	374551918308
SPT(16)	2878575320414763419	0 50 72 84 90 102 128 140 192 204 230 242 248 260 282 332	777526742118
STPT(10)	2878575471030349289	0 2 42 44 90 92 138 140 180 182	928142327988
SPT(16)	2878575912395769787	0 12 34 40 64 90 102 120 136 154 166 192 216 222 244 256	1369507748486