Prime p₀= 1176022491517363541 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Dr Who Fan
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1176021795699962609	0 24 48 54 62 68 72 114 248 290 294 300 308 314 338 362	-695817400932
SPT(16)	1176021812020426429	0 4 28 42 58 90 102 120 142 160 172 204 220 234 258 262	-679496937112
TPT(14)	1176021842189014319	0 2 42 44 48 50 90 92 228 230 312 314 342 344	-649328349222
TPT(14)	1176021958984794599	0 2 12 14 18 20 42 44 138 140 240 242 402 404	-532532568942
STPT(10)	1176022143557347781	0 2 30 32 60 62 90 92 120 122	-347960015760
SPT(16)	1176022333750893593	0 26 48 66 86 96 138 156 308 326 368 378 398 416 438 464	-157766469948
SPT(16)	1176022571813407393	0 34 48 54 76 130 138 154 180 196 204 258 280 286 300 334	80296043852
SPT(16)	1176022863554809901	0 26 50 60 80 98 102 108 170 176 180 198 218 228 252 278	372037446360
STPT(10)	1176023135885119661	0 2 138 140 168 170 198 200 336 338	644367756120
STPT(10)	1176023286795381767	0 2 12 14 42 44 72 74 84 86	795278018226
SPT(16)	1176023320406642987	0 30 66 96 110 114 122 144 152 174 182 186 200 230 266 296	828889279446