Prime p₀= 978058531750901987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	978056897226384667	0 4 46 66 70 90 94 96 130 132 136 156 160 180 222 226	-1634524517320
SPT(16)	978056997644748949	0 4 30 58 100 124 154 198 214 258 288 312 354 382 408 412	-1534106153038
STPT(10)	978057352639453739	0 2 78 80 120 122 162 164 240 242	-1179111448248
STPT(10)	978058006340495609	0 2 42 44 90 92 138 140 180 182	-525410406378
SPT(16)	978058168251370123	0 10 16 36 66 100 106 120 130 144 150 184 214 234 240 250	-363499531864
STPT(10)	978058373645187407	0 2 42 44 72 74 102 104 144 146	-158105714580
STPT(12)	978058582285858349	0 2 90 92 168 170 210 212 288 290 378 380	50534956362
SPT(16)	978058651177580209	0 18 28 34 42 52 70 72 130 132 150 160 168 174 184 202	119426678222
STPT(12)	978059016211691441	0 2 30 32 60 62 66 68 96 98 126 128	484460789454
SPT(16)	978059532837523933	0 46 96 118 210 214 276 298 306 328 390 394 486 508 558 604	1001086621946
SPT(16)	978059691542432267	0 6 26 80 86 110 150 164 216 230 270 294 300 354 374 380	1159791530280