Prime p₀= 3213034786292207879 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Hightower
db: batch=83, k=10, 2 28 2 28 2

SPT(16)	3213033445741793291	0 8 36 38 50 60 66 78 128 140 146 156 168 170 198 206	-1340550414588
STPT(10)	3213033468838268357	0 2 42 44 72 74 102 104 144 146	-1317453939522
STPT(10)	3213033507465990797	0 2 30 32 42 44 54 56 84 86	-1278826217082
SPT(16)	3213034381920187217	0 24 30 32 42 44 66 126 320 380 402 404 414 416 422 446	-404372020662
SPT(16)	3213034490035104961	0 18 46 70 102 142 160 178 210 228 246 286 318 342 370 388	-296257102918
STPT(12)	3213034581377742941	0 2 78 80 138 140 150 152 210 212 288 290	-204914464938
SPT(16)	3213034897315432949	0 48 134 170 174 182 194 240 242 288 300 308 312 348 434 482	111023225070
SPT(16)	3213035096913357109	0 34 52 70 94 102 108 114 148 154 160 168 192 210 228 262	310621149230
SPT(16)	3213035180441864381	0 6 18 36 42 50 90 120 128 158 198 206 212 230 242 248	394149656502
SPT(16)	3213035852033963393	0 8 50 54 84 128 138 140 168 170 180 224 254 258 300 308	1065741755514
TPT(14)	3213035994381238799	0 2 90 92 132 134 168 170 222 224 228 230 270 272	1208089030920