Prime p₀= 850666333148180567 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: marmot
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	850665084799081231	0 30 60 70 72 130 136 148 150 162 168 226 228 238 268 298	-1248349099336
STPT(10)	850665099079841501	0 2 30 32 78 80 126 128 156 158	-1234068339066
SPT(16)	850665138989898121	0 66 102 108 148 162 168 172 246 250 256 270 310 316 352 418	-1194158282446
SPT(16)	850665632567522617	0 6 40 46 54 60 102 160 186 244 286 292 300 306 340 346	-700580657950
SPT(16)	850665989144354599	0 12 40 60 160 172 214 264 370 420 462 474 574 594 622 634	-344003825968
SPT(16)	850666140335143967	0 20 50 90 92 116 126 146 186 206 216 240 242 282 312 332	-192813036600
SPT(16)	850666339771292197	0 24 40 52 54 102 126 154 192 220 244 292 294 306 322 346	6623111630
STPT(10)	850666494461689187	0 2 42 44 72 74 102 104 144 146	161313508620
STPT(10)	850666833841732337	0 2 84 86 132 134 180 182 264 266	500693551770
STPT(10)	850667291026972577	0 2 30 32 72 74 114 116 144 146	957878792010
SPT(16)	850667345962719991	0 12 40 52 118 166 198 208 210 220 252 300 366 378 406 418	1012814539424