Prime p₀= 1001334123406502057 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

SPT(16)	1001333744545265699	0 12 54 68 78 140 164 168 194 198 222 284 294 308 350 362	-378861236358
SPT(16)	1001333755414100417	0 60 102 126 144 176 182 192 194 204 210 242 260 284 326 386	-367992401640
SPT(16)	1001333805959766007	0 4 24 66 70 124 156 186 274 304 336 390 394 436 456 460	-317446736050
TPT(14)	1001333880568498031	0 2 36 38 78 80 90 92 168 170 216 218 240 242	-242838004026
SPT(16)	1001333997442444051	0 12 18 52 58 60 70 228 232 390 400 402 408 442 448 460	-125964058006
SPT(16)	1001334075703881571	0 16 22 36 100 106 130 142 156 168 192 198 262 276 282 298	-47702620486
SPT(16)	1001334223681801907	0 14 30 42 132 156 230 240 326 336 410 434 524 536 552 566	100275299850
SPT(16)	1001334439957623389	0 18 24 44 48 60 104 114 158 168 212 224 228 248 254 272	316551121332
STPT(10)	1001334580130539997	0 2 24 26 42 44 60 62 84 86	456724037940
SPT(16)	1001334669227903053	0 16 84 108 124 138 208 270 274 336 406 420 436 460 528 544	545821400996
STPT(10)	1001334899024644577	0 2 30 32 42 44 54 56 84 86	775618142520