Prime p₀= 1035670668889576397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: stoneageman
db: batch=76, k=10, 2 10 2 28 2

STPT(12)	1035669047448378599	0 2 12 14 18 20 42 44 48 50 60 62	-1621441197798
SPT(16)	1035669243089547271	0 28 46 58 126 132 150 156 232 238 256 262 330 342 360 388	-1425800029126
STPT(10)	1035669323373923177	0 2 30 32 60 62 90 92 120 122	-1345515653220
STPT(10)	1035669445100119901	0 2 36 38 78 80 120 122 156 158	-1223789456496
STPT(10)	1035669614813862617	0 2 30 32 42 44 54 56 84 86	-1054075713780
SPT(16)	1035670382731274177	0 20 54 72 104 122 132 140 156 164 174 192 224 242 276 296	-286158302220
STPT(10)	1035670938006359957	0 2 30 32 42 44 54 56 84 86	269116783560
SPT(16)	1035671016259697383	0 34 70 118 130 210 228 234 244 250 268 348 360 408 444 478	347370120986
STPT(10)	1035671085973151567	0 2 30 32 60 62 90 92 120 122	417083575170
STPT(10)	1035671228510217977	0 2 30 32 42 44 54 56 84 86	559620641580
SPT(16)	1035671370874678229	0 14 20 60 68 98 108 164 168 224 234 264 272 312 318 332	701985101832