Prime p₀= 802100023607148377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: scrap
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	802099012678641647	0 26 30 54 56 90 144 146 180 182 236 270 272 296 300 326	-1010928506730
SPT(16)	802099022692131509	0 30 72 102 132 158 198 212 258 272 312 338 368 398 440 470	-1000915016868
STPT(10)	802099024942412291	0 2 6 8 48 50 90 92 96 98	-998664736086
TPT(14)	802099567291286267	0 2 12 14 132 134 150 152 174 176 222 224 234 236	-456315862110
SPT(16)	802099698076926121	0 28 36 42 78 88 108 112 186 190 210 220 256 262 270 298	-325530222256
TPT(14)	802099896098578991	0 2 6 8 60 62 240 242 258 260 270 272 300 302	-127508569386
SPT(16)	802100121873091777	0 4 42 82 84 114 142 154 282 294 322 352 354 394 432 436	98265943400
STPT(10)	802100559724707977	0 2 24 26 42 44 60 62 84 86	536117559600
STPT(10)	802100571187711721	0 2 30 32 78 80 126 128 156 158	547580563344
STPT(10)	802100620324508927	0 2 42 44 102 104 162 164 204 206	596717360550
TPT(14)	802100753694129677	0 2 12 14 54 56 60 62 144 146 480 482 504 506	730086981300