Prime p₀= 1215581705906197697 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: mikey
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1215580645384465891	0 6 12 40 42 76 100 130 168 198 222 256 258 286 292 298	-1060521731806
TPT(14)	1215580778056511147	0 2 30 32 54 56 84 86 114 116 150 152 240 242	-927849686550
TPT(14)	1215581050775033021	0 2 60 62 78 80 120 122 126 128 156 158 186 188	-655131164676
STPT(10)	1215581070282103139	0 2 18 20 30 32 42 44 60 62	-635624094558
SPT(16)	1215581179949753033	0 14 18 30 36 48 140 158 186 204 296 308 314 326 330 344	-525956444664
TPT(14)	1215581558027778587	0 2 120 122 162 164 252 254 312 314 354 356 462 464	-147878419110
SPT(16)	1215581913707381029	0 24 42 78 82 118 124 168 214 258 264 300 304 340 358 382	207801183332
TPT(14)	1215582078815601227	0 2 84 86 120 122 132 134 150 152 174 176 222 224	372909403530
STPT(10)	1215582255818767589	0 2 18 20 30 32 42 44 60 62	549912569892
TPT(14)	1215582346529704271	0 2 30 32 150 152 156 158 180 182 240 242 318 320	640623506574
SPT(16)	1215582525606123263	0 56 78 84 96 134 266 276 278 288 420 458 470 476 498 554	819699925566