Prime p₀= 2356644626492538269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: kashi
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2356641344887868993	0 80 84 96 104 110 140 146 168 174 204 210 218 230 234 314	-3281604669276
TPT(14)	2356641435118340099	0 2 30 32 90 92 132 134 252 254 270 272 288 290	-3191374198170
SPT(16)	2356642600728850919	0 90 92 132 150 168 182 192 200 210 224 242 260 300 302 392	-2025763687350
SPT(16)	2356642843055448349	0 12 24 28 30 34 64 100 132 168 198 202 204 208 220 232	-1783437089920
SPT(16)	2356643355817019917	0 6 22 46 64 126 154 160 216 222 250 312 330 354 370 376	-1270675518352
SPT(16)	2356643534024616743	0 18 26 36 54 78 84 86 168 170 176 200 218 228 236 254	-1092467921526
SPT(16)	2356644669083130089	0 42 72 104 114 122 164 174 188 198 240 248 258 290 320 362	42590591820
SPT(16)	2356644898392283241	0 18 26 32 86 96 108 110 198 200 212 222 276 282 290 308	271899744972
STPT(10)	2356644977439457907	0 2 42 44 72 74 102 104 144 146	350946919638
SPT(18)	2356645282638785167	0 64 102 112 130 172 190 204 250 336 382 396 414 456 474 484 522 586	656146246898
SPT(16)	2356645351977209149	0 10 30 72 174 184 192 198 244 250 258 268 370 412 432 442	725484670880