Prime p₀= 1235335842096777527 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: Cruncher Pete
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1235334386763573661	0 12 42 48 66 112 132 138 160 166 186 232 250 256 286 298	-1455333203866
SPT(16)	1235334397454443777	0 54 100 156 186 190 274 322 324 372 456 460 490 546 592 646	-1444642333750
TPT(14)	1235335042743638399	0 2 78 80 132 134 210 212 252 254 342 344 390 392	-799353139128
SPT(16)	1235335715478305767	0 6 30 42 72 100 126 144 172 190 216 244 274 286 310 316	-126618471760
STPT(10)	1235335728834061121	0 2 36 38 78 80 120 122 156 158	-113262716406
STPT(10)	1235335732928538251	0 2 36 38 108 110 180 182 216 218	-109168239276
SPT(16)	1235336160628149389	0 14 20 42 50 54 78 110 132 164 188 192 200 222 228 242	318531371862
STPT(10)	1235336648606489459	0 2 18 20 30 32 42 44 60 62	806509711932
STPT(10)	1235337060847697837	0 2 12 14 42 44 72 74 84 86	1218750920310
SPT(16)	1235337203297240027	0 14 36 56 74 132 150 162 164 176 194 252 270 290 312 326	1361200462500
SPT(16)	1235337568553989783	0 10 36 46 78 130 168 178 198 208 246 298 330 340 366 376	1726457212256