Prime p₀= 2626764955757263157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: herby44
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2626763835878278219	0 28 30 82 100 112 148 172 198 222 258 270 288 340 342 370	-1119878984938
SPT(16)	2626763849545387231	0 28 60 78 120 142 150 198 220 268 276 298 340 358 390 418	-1106211875926
SPT(16)	2626764240088053619	0 4 22 24 52 82 102 114 178 190 210 240 268 270 288 292	-715669209538
SPT(16)	2626764245929123757	0 2 42 62 66 80 84 114 242 272 276 290 294 314 354 356	-709828139400
STPT(10)	2626764345007985627	0 2 12 14 132 134 252 254 264 266	-610749277530
SPT(16)	2626764680838874651	0 18 40 52 88 96 132 136 162 166 202 210 246 258 280 298	-274918388506
SPT(16)	2626765023730416013	0 16 30 34 40 70 90 96 118 124 144 174 180 184 198 214	67973152856
SPT(16)	2626765399224379489	0 52 72 82 84 114 130 154 168 192 208 238 240 250 270 322	443467116332
STPT(10)	2626765427888325539	0 2 12 14 30 32 48 50 60 62	472131062382
STPT(10)	2626765694729128829	0 2 30 32 60 62 90 92 120 122	738971865672
STPT(10)	2626766082054129359	0 2 42 44 120 122 198 200 240 242	1126296866202