Prime p₀= 965974646356988309 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: Conan
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	965973498931113017	0 2 42 44 72 74 102 104 144 146	-1147425875292
SPT(16)	965973725570444257	0 6 36 66 76 112 132 154 192 214 234 270 280 310 340 346	-920786544052
SPT(16)	965973812791880953	0 16 30 40 106 156 190 240 256 306 340 390 456 466 480 496	-833565107356
SPT(18)	965973989584642343	0 30 54 56 96 104 204 210 216 218 224 230 330 338 378 380 404 434	-656772345966
STPT(10)	965974339961400821	0 2 6 8 18 20 30 32 36 38	-306395587488
SPT(16)	965974445662588057	0 22 76 90 150 160 166 180 232 246 252 262 322 336 390 412	-200694400252
SPT(16)	965974865476338007	0 6 30 54 180 210 240 252 274 286 316 346 472 496 520 526	219119349698
STPT(10)	965975003047365341	0 2 30 32 60 62 90 92 120 122	356690377032
SPT(16)	965975141334415829	0 8 30 50 60 74 80 108 134 162 168 182 192 212 234 242	494977427520
STPT(10)	965975236052103371	0 2 6 8 48 50 90 92 96 98	589695115062
SPT(20)	965975377561521031	0 22 82 90 112 222 232 256 298 316 402 420 462 486 496 606 628 636 696 718	731204532722