Prime p₀= 1245472332876109631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: Cruncher Pete
db: batch=77, k=10, 2 124 2 10 2

SPT(16)	1245471268688233997	0 14 62 132 144 170 200 222 302 324 354 380 392 462 510 524	-1064187875634
SPT(16)	1245471298320263263	0 18 28 46 78 120 126 130 186 190 196 238 270 288 298 316	-1034555846368
STPT(10)	1245471890987450639	0 2 42 44 60 62 78 80 120 122	-441888658992
STPT(10)	1245472107031065227	0 2 12 14 42 44 72 74 84 86	-225845044404
TPT(14)	1245472257667640489	0 2 12 14 48 50 60 62 90 92 102 104 240 242	-75208469142
STPT(10)	1245472306140531101	0 2 6 8 48 50 90 92 96 98	-26735578530
SPT(16)	1245472560427364747	0 30 60 74 90 102 104 126 230 252 254 266 282 296 326 356	227551255116
STPT(10)	1245472737177717029	0 2 18 20 60 62 102 104 120 122	404301607398
SPT(16)	1245472762443953089	0 60 72 78 114 148 154 160 252 258 264 298 334 340 352 412	429567843458
TPT(14)	1245472772522472521	0 2 156 158 210 212 228 230 276 278 408 410 420 422	439646362890
SPT(16)	1245472805454550159	0 42 58 102 132 144 148 300 352 504 508 520 550 594 610 652	472578440528