Prime p₀= 2725990643501235137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: herby44
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2725989701041431977	0 74 104 116 182 230 276 294 392 410 456 504 570 582 612 686	-942459803160
STPT(10)	2725989755611646141	0 2 36 38 78 80 120 122 156 158	-887889588996
STPT(10)	2725990157923932827	0 2 54 56 72 74 90 92 144 146	-485577302310
SPT(16)	2725990202368938097	0 24 46 102 112 120 126 136 180 190 196 204 214 270 292 316	-441132297040
STPT(10)	2725990312322048897	0 2 30 32 72 74 114 116 144 146	-331179186240
SPT(16)	2725990592227957303	0 28 34 130 148 160 210 216 238 244 294 306 324 420 426 454	-51273277834
SPT(18)	2725990665685694009	0 12 14 38 54 72 80 102 144 218 260 282 290 308 324 348 350 362	22184458872
STPT(10)	2725990705501811567	0 2 30 32 42 44 54 56 84 86	62000576430
STPT(10)	2725991554003290059	0 2 12 14 90 92 168 170 180 182	910502054922
STPT(10)	2725991643849222167	0 2 12 14 42 44 72 74 84 86	1000347987030
STPT(10)	2725991737520389937	0 2 30 32 42 44 54 56 84 86	1094019154800