Prime p₀= 2746339461127495991 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: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2746338539457853411	0 22 82 88 100 112 120 126 142 148 156 168 180 186 246 268	-921669642580
SPT(16)	2746338555390934831	0 18 22 48 60 90 112 136 162 186 208 238 250 276 280 298	-905736561160
SPT(16)	2746338793859852483	0 8 18 54 68 90 96 120 164 188 194 216 230 266 276 284	-667267643508
STPT(10)	2746339001574452129	0 2 18 20 30 32 42 44 60 62	-459553043862
STPT(10)	2746339125990453737	0 2 72 74 102 104 132 134 204 206	-335137042254
STPT(10)	2746339298509661537	0 2 12 14 72 74 132 134 144 146	-162617834454
STPT(10)	2746340611917759299	0 2 18 20 60 62 102 104 120 122	1150790263308
SPT(18)	2746340849932266767	0 36 56 92 120 146 224 234 272 294 332 342 420 446 474 510 530 566	1388804770776
SPT(16)	2746340912018017697	0 12 14 74 96 116 132 144 182 194 210 230 252 312 314 326	1450890521706
SPT(16)	2746341005404451459	0 30 32 68 110 140 168 198 212 242 270 300 342 378 380 410	1544276955468
STPT(10)	2746341138202246769	0 2 18 20 30 32 42 44 60 62	1677074750778