Prime p₀= 1041436771299949691 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: stoneageman
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1041435077679528079	0 34 72 114 148 150 174 220 252 298 322 324 358 400 438 472	-1693620421612
TPT(14)	1041435269427807251	0 2 18 20 30 32 126 128 228 230 240 242 258 260	-1501872142440
STPT(10)	1041435480241361501	0 2 6 8 18 20 30 32 36 38	-1291058588190
SPT(16)	1041435831661017137	0 24 66 90 92 104 114 132 164 182 192 204 206 230 272 296	-939638932554
TPT(14)	1041436046228449211	0 2 6 8 168 170 198 200 228 230 240 242 306 308	-725071500480
STPT(10)	1041436607215325351	0 2 30 32 60 62 90 92 120 122	-164084624340
SPT(16)	1041437382260717773	0 34 58 78 94 126 144 148 156 160 178 210 226 246 270 304	610960768082
SPT(16)	1041437429265416153	0 14 26 50 68 84 104 120 164 180 200 216 234 258 270 284	657965466462
STPT(10)	1041437487655279997	0 2 42 44 72 74 102 104 144 146	716355330306
SPT(16)	1041437799183946009	0 4 18 40 48 88 108 154 234 280 300 340 348 370 384 388	1027883996318
STPT(10)	1041438082019871659	0 2 12 14 30 32 48 50 60 62	1310719921968