Prime p₀= 2516615658145001261 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(18)	2516613932446110439	0 4 28 78 112 130 160 178 180 202 204 222 252 270 304 354 378 382	-1725698890822
STPT(10)	2516613985531708871	0 2 6 8 48 50 90 92 96 98	-1672613292390
SPT(16)	2516614318699657807	0 46 66 112 126 142 144 156 250 262 264 280 294 340 360 406	-1339445343454
SPT(16)	2516614445041473401	0 8 42 72 122 158 182 216 242 276 300 336 386 416 450 458	-1213103527860
STPT(10)	2516614602774770747	0 2 12 14 42 44 72 74 84 86	-1055370230514
SPT(16)	2516615308733946983	0 54 80 110 114 150 210 234 320 344 404 440 444 474 500 554	-349411054278
TPT(14)	2516616247632901187	0 2 90 92 144 146 174 176 210 212 252 254 270 272	589487899926
SPT(16)	2516616665164275461	0 30 32 86 102 126 156 210 218 272 302 326 342 396 398 428	1007019274200
SPT(20)	2516617790257775441	0 18 30 48 56 86 90 108 132 150 188 206 230 248 252 282 290 308 320 338	2132112774180
SPT(13)	2516617874078172869	0 30 42 60 78 102 120 138 162 180 198 210 240	2215933171608
STPT(10)	2516618545635384101	0 2 6 8 18 20 30 32 36 38	2887490382840