Prime p₀= 1204780598322257417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1204779560540274503	0 14 50 66 78 126 134 170 204 240 248 296 308 324 360 374	-1037781982914
STPT(10)	1204779860466202619	0 2 18 20 30 32 42 44 60 62	-737856054798
TPT(14)	1204779996391001141	0 2 60 62 126 128 168 170 180 182 198 200 270 272	-601931256276
TPT(14)	1204780217109629351	0 2 36 38 120 122 156 158 168 170 198 200 240 242	-381212628066
SPT(16)	1204780511390556301	0 22 60 78 82 102 120 132 166 178 196 216 220 238 276 298	-86931701116
SPT(16)	1204780520205957781	0 60 78 100 120 126 150 210 256 316 340 346 366 388 406 466	-78116299636
SPT(16)	1204780648895900257	0 60 96 100 130 150 154 186 220 252 256 276 306 310 346 406	50573642840
SPT(16)	1204780653534500671	0 6 18 30 46 58 88 100 156 168 198 210 226 238 250 256	55212243254
STPT(10)	1204781009335823327	0 2 42 44 72 74 102 104 144 146	411013565910
STPT(10)	1204781218147010597	0 2 30 32 60 62 90 92 120 122	619824753180
SPT(16)	1204781604793742389	0 10 52 60 72 82 102 108 142 148 168 178 190 198 240 250	1006471484972