Prime p₀= 4115273504880279569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [AF] Kalianthys
db: batch=85, k=10, 2 40 2 16 2

SPT(16)	4115272819648997873	0 14 54 60 74 80 84 96 128 140 144 150 164 170 210 224	-685231281696
SPT(16)	4115272956445098527	0 30 50 66 72 102 134 144 182 192 224 254 260 276 296 326	-548435181042
SPT(16)	4115273025301626653	0 14 44 108 128 138 170 194 234 258 290 300 320 384 414 428	-479578652916
STPT(10)	4115273089026955319	0 2 48 50 60 62 72 74 120 122	-415853324250
SPT(16)	4115273211417910193	0 38 120 164 168 224 234 276 278 320 330 386 390 434 516 554	-293462369376
STPT(10)	4115273217118491971	0 2 6 8 48 50 90 92 96 98	-287761787598
STPT(10)	4115273888470963451	0 2 30 32 78 80 126 128 156 158	383590683882
TPT(14)	4115274609959807507	0 2 54 56 120 122 204 206 210 212 330 332 402 404	1105079527938
SPT(16)	4115274802433944363	0 34 36 48 54 58 64 76 78 90 96 100 106 118 120 154	1297553664794
TPT(14)	4115274857032682591	0 2 78 80 120 122 216 218 318 320 420 422 546 548	1352152403022
TPT(14)	4115274946263849617	0 2 12 14 30 32 42 44 54 56 72 74 84 86	1441383570048