Prime p₀= 1167420799214122631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: HenkM
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1167419740214692829	0 8 18 68 72 90 104 128 144 168 182 200 204 254 264 272	-1058999429802
STPT(10)	1167419914918903727	0 2 54 56 72 74 90 92 144 146	-884295218904
TPT(14)	1167419915324223257	0 2 12 14 54 56 72 74 222 224 240 242 270 272	-883889899374
STPT(10)	1167419959406697431	0 2 30 32 138 140 246 248 276 278	-839807425200
STPT(12)	1167420328142699339	0 2 18 20 42 44 78 80 102 104 120 122	-471071423292
SPT(16)	1167420376447243979	0 8 42 98 110 132 152 194 198 240 260 282 294 350 384 392	-422766878652
SPT(16)	1167420857929518371	0 12 20 32 60 72 78 90 98 110 116 128 156 168 176 188	58715395740
SPT(16)	1167421279570773581	0 6 68 90 96 110 138 188 210 260 288 302 308 330 392 398	480356650950
STPT(10)	1167421314093712961	0 2 6 8 48 50 90 92 96 98	514879590330
STPT(10)	1167421440942774371	0 2 6 8 48 50 90 92 96 98	641728651740
STPT(10)	1167421458167420579	0 2 12 14 30 32 48 50 60 62	658953297948