Prime p₀= 3003999371348844857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 70 2 70 2 28 2 (?)
a_n: 0 2 30 32 102 104 174 176 204 206
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: 206
Found by: Orange Kid
db: batch=82, k=10, 2 28 2 70 2

STPT(10)	3003997876065796637	0 2 30 32 42 44 54 56 84 86	-1495283048220
SPT(16)	3003997965128586583	0 6 10 16 70 76 108 120 154 166 198 204 258 264 268 274	-1406220258274
STPT(10)	3003998189148296411	0 2 36 38 78 80 120 122 156 158	-1182200548446
SPT(20)	3003998244556665319	0 34 42 54 78 90 94 108 162 174 208 220 274 288 292 304 328 340 348 382	-1126792179538
TPT(14)	3003998802174229757	0 2 60 62 120 122 132 134 162 164 240 242 252 254	-569174615100
STPT(10)	3003999290633928029	0 2 42 44 60 62 78 80 120 122	-80714916828
SPT(20)	3003999748357105607	0 6 32 62 90 92 96 102 134 222 224 312 344 350 354 356 384 414 440 446	377008260750
STPT(10)	3003999854573944451	0 2 36 38 78 80 120 122 156 158	483225099594
SPT(16)	3004000008704822579	0 12 14 62 90 104 114 132 152 170 180 194 222 270 272 284	637355977722
SPT(16)	3004000297380814049	0 8 50 84 114 128 138 140 168 170 180 194 224 258 300 308	926031969192
SPT(16)	3004000558137031823	0 14 38 68 86 104 128 168 236 276 300 318 336 366 390 404	1186788186966