Prime p₀= 2037115395286978211 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2037113593530773497	0 6 42 84 120 126 132 136 150 154 160 166 202 244 280 286	-1801756204714
STPT(10)	2037114598877518211	0 2 6 8 18 20 30 32 36 38	-796409460000
SPT(16)	2037114785712224329	0 28 34 70 82 94 124 130 132 138 168 180 192 228 234 262	-609574753882
STPT(10)	2037114793155226451	0 2 6 8 18 20 30 32 36 38	-602131751760
TPT(14)	2037114822652620311	0 2 18 20 66 68 108 110 150 152 168 170 186 188	-572634357900
SPT(16)	2037115260678114109	0 48 108 180 198 238 250 294 358 402 414 454 472 544 604 652	-134608864102
STPT(10)	2037115428880417157	0 2 30 32 42 44 54 56 84 86	33593438946
STPT(10)	2037115750380960047	0 2 30 32 42 44 54 56 84 86	355093981836
SPT(16)	2037116202763883939	0 12 20 42 68 78 80 120 122 162 164 174 200 222 230 242	807476905728
SPT(16)	2037116203731339901	0 16 18 42 66 112 126 156 172 202 216 262 286 310 312 328	808444361690
SPT(16)	2037116280338662069	0 18 30 40 42 70 78 138 154 214 222 250 252 262 274 292	885051683858