Prime p₀= 812508662006375987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: marsinph
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	812507241930736801	0 42 60 120 130 142 190 198 322 330 378 390 400 460 478 520	-1420075639186
STPT(10)	812507258595292187	0 2 30 32 72 74 114 116 144 146	-1403411083800
SPT(16)	812507658969303403	0 28 36 40 78 120 130 138 256 264 274 316 354 358 366 394	-1003037072584
SPT(16)	812507775643045187	0 44 84 104 122 146 150 164 192 206 210 234 252 272 312 356	-886363330800
SPT(16)	812507842996440893	0 30 74 80 108 110 128 144 164 180 198 200 228 234 278 308	-819009935094
STPT(10)	812508499271307689	0 2 42 44 90 92 138 140 180 182	-162735068298
TPT(14)	812509008012480479	0 2 72 74 138 140 180 182 198 200 252 254 282 284	346006104492
SPT(16)	812509330339137187	0 42 94 102 124 130 144 150 184 190 204 210 232 240 292 334	668332761200
STPT(10)	812509378215628547	0 2 24 26 42 44 60 62 84 86	716209252560
SPT(16)	812509562649577189	0 12 24 28 34 48 64 70 132 138 154 168 174 178 190 202	900643201202
SPT(16)	812509675208463437	0 6 30 56 86 102 122 132 140 150 170 186 216 242 266 272	1013202087450