Prime p₀= 1324449014433808139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Megacruncher
db: batch=77, k=10, 2 28 2 28 2

STPT(10)	1324447258462712471	0 2 6 8 48 50 90 92 96 98	-1755971095668
STPT(10)	1324447579894700579	0 2 48 50 90 92 132 134 180 182	-1434539107560
SPT(16)	1324447670259380207	0 30 36 66 72 90 92 140 156 204 206 224 230 260 266 296	-1344174427932
TPT(14)	1324447975953382517	0 2 30 32 72 74 264 266 354 356 402 404 420 422	-1038480425622
SPT(16)	1324448317445515399	0 34 88 102 114 124 168 202 210 244 288 298 310 324 378 412	-696988292740
STPT(10)	1324448670001509707	0 2 30 32 72 74 114 116 144 146	-344432298432
STPT(10)	1324449021616779941	0 2 36 38 78 80 120 122 156 158	7182971802
STPT(10)	1324449025673393531	0 2 6 8 18 20 30 32 36 38	11239585392
SPT(16)	1324449063982734601	0 10 16 30 36 42 66 88 90 112 136 142 148 162 168 178	49548926462
STPT(10)	1324449099376360427	0 2 30 32 42 44 54 56 84 86	84942552288
SPT(16)	1324449145263252289	0 4 64 84 88 102 124 142 150 168 190 204 208 228 288 292	130829444150