Prime p₀= 1278035378687390171 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: HenkM
db: batch=77, k=10, 2 34 2 40 2

TPT(14)	1278034040555501891	0 2 48 50 60 62 96 98 126 128 198 200 228 230	-1338131888280
STPT(10)	1278034216947852179	0 2 12 14 30 32 48 50 60 62	-1161739537992
SPT(16)	1278034380687302933	0 8 78 80 84 128 144 170 204 230 246 290 294 296 366 374	-998000087238
SPT(16)	1278034381898160197	0 24 50 56 104 110 126 204 236 314 330 336 384 390 416 440	-996789229974
STPT(10)	1278035060187142391	0 2 36 38 78 80 120 122 156 158	-318500247780
STPT(12)	1278035274954568181	0 2 30 32 60 62 198 200 228 230 258 260	-103732821990
STPT(10)	1278035571636608957	0 2 12 14 72 74 132 134 144 146	192949218786
SPT(16)	1278035601612876367	0 46 70 72 84 94 112 132 154 174 192 202 214 216 240 286	222925486196
STPT(10)	1278036066801333809	0 2 12 14 30 32 48 50 60 62	688113943638
SPT(20)	1278036182066012921	0 222 242 248 272 282 290 300 318 362 396 440 458 468 476 486 510 516 536 758	803378622750
STPT(10)	1278036230960620487	0 2 30 32 72 74 114 116 144 146	852273230316