Prime p₀= 2109612120783126989 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Landjunge
db: batch=80, k=10, 2 40 2 76 2

SPT(16)	2109611544993243127	0 12 40 42 84 114 154 162 202 210 250 280 322 324 352 364	-575789883862
SPT(16)	2109611635643694883	0 28 30 54 88 96 130 150 184 204 238 246 280 304 306 334	-485139432106
STPT(10)	2109611953306867949	0 2 30 32 60 62 90 92 120 122	-167476259040
SPT(16)	2109612004664868527	0 6 14 42 84 110 132 146 270 284 306 332 374 402 410 416	-116118258462
STPT(10)	2109612017902195517	0 2 42 44 72 74 102 104 144 146	-102880931472
SPT(16)	2109612077393925283	0 28 40 48 54 58 84 90 154 160 186 190 196 204 216 244	-43389201706
SPT(16)	2109612420146930333	0 6 50 68 98 164 206 258 266 318 360 426 456 474 518 524	299363803344
STPT(10)	2109612570995780699	0 2 30 32 60 62 90 92 120 122	450212653710
STPT(10)	2109612890028510467	0 2 30 32 42 44 54 56 84 86	769245383478
STPT(10)	2109613022540693639	0 2 12 14 30 32 48 50 60 62	901757566650
SPT(16)	2109613023694541999	0 20 30 84 110 140 162 174 218 230 252 282 308 362 372 392	902911415010