Prime p₀= 1235335728834061121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Cruncher Pete
db: batch=77, k=10, 2 34 2 40 2

STPT(10)	1235334253917472517	0 2 54 56 72 74 90 92 144 146	-1474916588604
SPT(16)	1235334296894118419	0 8 18 32 42 78 110 122 180 192 224 260 270 284 294 302	-1431939942702
SPT(16)	1235334386763573661	0 12 42 48 66 112 132 138 160 166 186 232 250 256 286 298	-1342070487460
SPT(16)	1235334397454443777	0 54 100 156 186 190 274 322 324 372 456 460 490 546 592 646	-1331379617344
TPT(14)	1235335042743638399	0 2 78 80 132 134 210 212 252 254 342 344 390 392	-686090422722
SPT(16)	1235335715478305767	0 6 30 42 72 100 126 144 172 190 216 244 274 286 310 316	-13355755354
STPT(10)	1235335732928538251	0 2 36 38 108 110 180 182 216 218	4094477130
STPT(10)	1235335842096777527	0 2 12 14 42 44 72 74 84 86	113262716406
SPT(16)	1235336160628149389	0 14 20 42 50 54 78 110 132 164 188 192 200 222 228 242	431794088268
STPT(10)	1235336648606489459	0 2 18 20 30 32 42 44 60 62	919772428338
STPT(10)	1235337060847697837	0 2 12 14 42 44 72 74 84 86	1332013636716