Prime p₀= 1302365546818152917 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: HenkM
db: batch=77, k=10, 2 58 2 10 2

SPT(16)	1302364831464857057	0 20 36 50 60 66 80 102 104 126 140 146 156 170 186 206	-715353295860
TPT(14)	1302365133162796271	0 2 60 62 228 230 240 242 246 248 270 272 288 290	-413655356646
STPT(10)	1302365137789540379	0 2 18 20 60 62 102 104 120 122	-409028612538
SPT(16)	1302365189254085767	0 6 16 46 54 84 96 132 304 340 352 382 390 420 430 436	-357564067150
SPT(16)	1302365504211474281	0 20 42 66 206 228 270 308 360 398 440 462 602 626 648 668	-42606678636
STPT(10)	1302365544389255711	0 2 30 32 78 80 126 128 156 158	-2428897206
SPT(16)	1302365598897195863	0 56 60 86 90 104 114 116 258 260 270 284 288 314 318 374	52079042946
STPT(10)	1302365720078167091	0 2 6 8 48 50 90 92 96 98	173260014174
SPT(16)	1302365994214062109	0 10 24 52 78 90 112 124 288 300 322 334 360 388 402 412	447395909192
SPT(16)	1302366468155245319	0 12 54 72 74 110 128 168 224 264 282 318 320 338 380 392	921337092402
STPT(10)	1302366804953960531	0 2 30 32 78 80 126 128 156 158	1258135807614