Prime p₀= 1016258643963966437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Theadalus
db: batch=76, k=10, 2 58 2 10 2

SPT(16)	1016256290670765959	0 20 42 84 110 140 152 170 174 192 204 234 260 302 324 344	-2353293200478
STPT(10)	1016256606947704019	0 2 18 20 60 62 102 104 120 122	-2037016262418
SPT(16)	1016257448190725471	0 56 66 98 146 152 162 170 258 266 276 282 330 362 372 428	-1195773240966
SPT(16)	1016257863749827339	0 70 72 90 112 124 198 244 378 424 498 510 532 550 552 622	-780214139098
STPT(10)	1016258352972841871	0 2 6 8 48 50 90 92 96 98	-290991124566
STPT(10)	1016258554118503769	0 2 138 140 150 152 162 164 300 302	-89845462668
SPT(16)	1016258748139006447	0 54 66 82 84 126 132 174 292 334 340 382 384 400 412 466	104175040010
TPT(14)	1016258822767596179	0 2 30 32 78 80 90 92 102 104 258 260 378 380	178803629742
STPT(10)	1016258937145899917	0 2 30 32 42 44 54 56 84 86	293181933480
SPT(18)	1016258998815094129	0 12 28 34 72 82 102 124 174 208 258 280 300 310 348 354 370 382	354851127692
STPT(12)	1016259467422341851	0 2 60 62 90 92 198 200 228 230 288 290	823458375414