Prime p₀= 1956397409874374177 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: Orange Kid
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	1956396027534799153	0 24 36 58 76 150 156 184 210 238 244 318 336 358 370 394	-1382339575024
STPT(10)	1956396043854191081	0 2 6 8 18 20 30 32 36 38	-1366020183096
SPT(16)	1956396159476975383	0 24 66 70 76 118 154 198 256 300 336 378 384 388 430 454	-1250397398794
SPT(16)	1956396179039701039	0 34 72 90 124 138 174 190 342 358 394 408 442 460 498 532	-1230834673138
STPT(10)	1956396428605464617	0 2 90 92 102 104 114 116 204 206	-981268909560
STPT(10)	1956396552810236531	0 2 36 38 78 80 120 122 156 158	-857064137646
STPT(10)	1956397495201859621	0 2 6 8 18 20 30 32 36 38	85327485444
STPT(10)	1956397718685499721	0 2 30 32 78 80 126 128 156 158	308811125544
SPT(16)	1956397770578397121	0 6 16 70 72 96 118 148 210 240 262 286 288 342 352 358	360704022944
SPT(16)	1956397890448058909	0 20 68 74 104 108 122 164 168 210 224 228 258 264 312 332	480573684732
SPT(16)	1956398351022652213	0 4 6 76 96 154 196 228 286 318 360 418 438 508 510 514	941148278036