Prime p₀= 1295753723965339757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Cruncher Pete
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1295753011303193857	0 22 46 60 72 124 126 150 226 250 252 304 316 330 354 376	-712662145900
TPT(14)	1295753241811288319	0 2 42 44 48 50 78 80 120 122 168 170 180 182	-482154051438
SPT(16)	1295753319003998003	0 8 14 50 56 84 90 108 116 134 140 168 174 210 216 224	-404961341754
TPT(14)	1295753359921798577	0 2 90 92 114 116 174 176 252 254 282 284 324 326	-364043541180
STPT(10)	1295753448977347271	0 2 6 8 18 20 30 32 36 38	-274987992486
STPT(10)	1295753501475318671	0 2 30 32 60 62 90 92 120 122	-222490021086
SPT(16)	1295753795926777567	0 22 42 46 76 90 100 112 150 162 172 186 216 220 240 262	71961437810
TPT(14)	1295753881985296367	0 2 12 14 54 56 84 86 240 242 252 254 294 296	158019956610
SPT(16)	1295754396069308597	0 30 66 116 192 224 240 266 270 296 312 344 420 470 506 536	672103968840
SPT(16)	1295754397161551693	0 6 66 80 116 200 204 216 218 230 234 318 354 368 428 434	673196211936
TPT(14)	1295755159085873951	0 2 36 38 48 50 90 92 108 110 126 128 150 152	1435120534194