Prime p₀= 2871598450181877509 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2871596499779877827	0 2 42 44 72 74 102 104 144 146	-1950401999682
SPT(16)	2871596902732503947	0 36 74 86 134 170 192 222 224 254 276 312 360 372 410 446	-1547449373562
SPT(16)	2871596943993406451	0 6 8 32 92 116 120 138 140 158 162 186 246 270 272 278	-1506188471058
TPT(14)	2871597430622542847	0 2 24 26 42 44 192 194 234 236 264 266 330 332	-1019559334662
SPT(16)	2871597882760763287	0 40 54 102 120 192 196 222 304 330 334 406 424 472 486 526	-567421114222
SPT(16)	2871598362775412029	0 12 34 58 78 100 112 148 264 300 312 334 354 378 400 412	-87406465480
STPT(10)	2871598734616044581	0 2 36 38 78 80 120 122 156 158	284434167072
STPT(10)	2871598976199172169	0 2 18 20 30 32 42 44 60 62	526017294660
STPT(10)	2871599538896459429	0 2 42 44 60 62 78 80 120 122	1088714581920
SPT(16)	2871599772885837739	0 18 30 40 72 78 82 100 102 120 124 130 162 172 184 202	1322703960230
SPT(16)	2871599966814202829	0 2 24 38 80 98 108 132 140 164 174 192 234 248 270 272	1516632325320