Prime p₀= 2302037715136876859 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: FritzB
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2302036617418730779	0 4 10 28 42 48 52 70 72 90 94 100 114 132 138 142	-1097718146080
STPT(10)	2302036618721687171	0 2 36 38 78 80 120 122 156 158	-1096415189688
SPT(16)	2302036671998882807	0 14 20 32 36 146 176 192 284 300 330 440 444 456 462 476	-1043137994052
SPT(16)	2302036882665059593	0 6 16 40 70 76 166 190 216 240 330 336 366 390 400 406	-832471817266
SPT(16)	2302037158587913081	0 12 40 58 60 102 112 132 136 156 166 208 210 228 256 268	-556548963778
STPT(10)	2302037445356817197	0 2 30 32 42 44 54 56 84 86	-269780059662
STPT(10)	2302038134289573257	0 2 30 32 42 44 54 56 84 86	419152696398
STPT(10)	2302039276933985759	0 2 42 44 60 62 78 80 120 122	1561797108900
SPT(16)	2302039518794090651	0 6 32 36 42 72 78 86 132 140 146 176 182 186 212 218	1803657213792
STPT(10)	2302039692906532739	0 2 12 14 210 212 408 410 420 422	1977769655880
STPT(10)	2302039750636317917	0 2 30 32 42 44 54 56 84 86	2035499441058