Prime p₀= 1231521696086965469 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1231521023770852817	0 2 30 32 60 62 90 92 120 122	-672316112652
TPT(14)	1231521125089109537	0 2 90 92 174 176 210 212 270 272 312 314 354 356	-570997855932
STPT(10)	1231521172944573521	0 2 6 8 48 50 90 92 96 98	-523142391948
TPT(14)	1231521177517521167	0 2 90 92 102 104 114 116 132 134 144 146 180 182	-518569444302
SPT(16)	1231521472314087323	0 14 50 74 80 84 110 116 144 150 176 180 186 210 246 260	-223772878146
SPT(16)	1231521677925991063	0 10 94 124 154 184 190 196 288 294 300 330 360 390 474 484	-18160974406
STPT(10)	1231521719991451697	0 2 54 56 72 74 90 92 144 146	23904486228
SPT(16)	1231522015171340177	0 74 120 152 162 224 242 246 290 294 312 374 384 416 462 536	319084374708
SPT(16)	1231522150553227571	0 20 36 42 62 68 86 188 240 342 360 366 386 392 408 428	454466262102
STPT(10)	1231522404689382779	0 2 42 44 120 122 198 200 240 242	708602417310
STPT(10)	1231523085368191529	0 2 42 44 90 92 138 140 180 182	1389281226060