Prime p₀= 1297212168367863029 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 40 2

STPT(10)	1297211029441889447	0 2 12 14 72 74 132 134 144 146	-1138925973582
SPT(16)	1297211347112137433	0 6 86 98 104 120 144 146 168 170 194 210 216 228 308 314	-821255725596
SPT(18)	1297211489591165999	0 2 8 32 54 60 68 78 102 110 134 144 152 158 180 204 210 212	-678776697030
SPT(16)	1297211583978808579	0 30 34 102 120 124 162 202 210 250 288 292 310 378 382 412	-584389054450
TPT(14)	1297211599148262767	0 2 12 14 54 56 90 92 114 116 132 134 144 146	-569219600262
TPT(14)	1297211904332512451	0 2 90 92 96 98 108 110 126 128 180 182 216 218	-264035350578
STPT(10)	1297212395225014517	0 2 30 32 42 44 54 56 84 86	226857151488
SPT(16)	1297212396820377461	0 56 62 102 116 140 210 216 266 272 342 366 380 420 426 482	228452514432
SPT(16)	1297213444970580593	0 24 60 78 86 150 218 240 254 276 344 408 416 434 470 494	1276602717564
STPT(10)	1297213856116027931	0 2 6 8 48 50 90 92 96 98	1687748164902
SPT(16)	1297214566257918031	0 6 52 58 118 138 150 208 210 268 280 300 360 366 412 418	2397890055002